Abstract Algebra via Numbers / / by Lars Tuset
| Abstract Algebra via Numbers / / by Lars Tuset |
| Autore | Tuset Lars |
| Edizione | [1st ed. 2025.] |
| Pubbl/distr/stampa | Cham : , : Springer Nature Switzerland : , : Imprint : Springer, , 2025 |
| Descrizione fisica | 1 online resource (462 pages) |
| Disciplina | 512 |
| Soggetto topico |
Algebra
Number theory Number Theory Àlgebra Teoria de nombres |
| Soggetto genere / forma | Llibres electrònics |
| ISBN |
9783031746239
3031746236 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto | Chapter 1. Number theory -- Chapter 2. Construction of numbers -- Chapter 3. Linear algebra -- Chapter 4. Groups -- Chapter 5. Representations of finite groups -- Chapter 6. Rings -- Chapter 7. Field extensions -- Chapter 8. Galois theory -- Chapter 9. Modules -- Chapter 10. Appendix. |
| Record Nr. | UNINA-9910983306603321 |
Tuset Lars
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| Cham : , : Springer Nature Switzerland : , : Imprint : Springer, , 2025 | ||
| Lo trovi qui: Univ. Federico II | ||
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Advances in the Theory of Varieties of Semigroups / / by Edmond W. H. Lee
| Advances in the Theory of Varieties of Semigroups / / by Edmond W. H. Lee |
| Autore | Lee Edmond W. H |
| Edizione | [1st ed. 2023.] |
| Pubbl/distr/stampa | Cham : , : Springer International Publishing : , : Imprint : Birkhäuser, , 2023 |
| Descrizione fisica | 1 online resource (XV, 287 p. 16 illus.) |
| Disciplina |
512.2
512.27 |
| Collana | Frontiers in Mathematics |
| Soggetto topico |
Group theory
Algebra Group Theory and Generalizations Order, Lattices, Ordered Algebraic Structures Semigrups Àlgebra |
| Soggetto genere / forma | Llibres electrònics |
| ISBN | 3-031-16497-0 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto | Historical overview and main results -- Preliminaries. Part I - Semigroups -- Aperiodic Rees-Suschkewitsch varieties -- A problem of Pollak and Volkov on hereditarily finitely based identities -- Sufficient conditions for the non-finite basis property -- Semigroups without irredundant identity bases -- Part II - Involution Semigroups -- Involution semigroups with infinite irredundant identity bases -- Finitely based involution semigroups with non-finitely based reducts -- Counterintuitive examples of involution semigroups -- Equational theories of twisted involution semigroups -- Part III - Monoids -- Hereditarily finitely based varieties of monoids -- Varieties of aperiodic monoids with central idempotents -- Certain Cross varieties of aperiodic monoids with commuting idempotents -- Counterintuitive examples of monoids. |
| Record Nr. | UNINA-9910686471103321 |
Lee Edmond W. H
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| Cham : , : Springer International Publishing : , : Imprint : Birkhäuser, , 2023 | ||
| Lo trovi qui: Univ. Federico II | ||
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Al-Kashi's Miftaḥ al-Ḥisab . Volume 3 : translation and commentary : Algebra / / Nuh Aydin, Lakhdar Hammoudi, Ghada Bakbouk
| Al-Kashi's Miftaḥ al-Ḥisab . Volume 3 : translation and commentary : Algebra / / Nuh Aydin, Lakhdar Hammoudi, Ghada Bakbouk |
| Autore | Aydin Nuh |
| Pubbl/distr/stampa | Cham, Switzerland : , : Springer, , [2022] |
| Descrizione fisica | 1 online resource (285 pages) |
| Disciplina | 512 |
| Soggetto topico |
Algebra
Àlgebra |
| Soggetto genere / forma | Llibres electrònics |
| ISBN | 3-030-96615-1 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto |
Intro -- Preface -- Contents -- Introduction -- A Biography of al-Kashı and a Brief History -- Al-Kashı's Letters: Invaluable Source -- Ulugh Beg in al-Kashı's Letters -- Samarkand in al-Kashı's letters: Center of Knowledge -- List of al-Kashı's Known Works -- Manuscript Copies of Miftah -- Pedagogical Aspects of Miftah -- Possible Future Projects -- Notes on Translation and the Purpose of This Work -- Original Table of Contents of The Fifth Treatise -- The Fifth Treatise -- First Chapter: On Algebra -- First Section: On Definitions and Terminology -- Second Section: On the Addition of Monomials -- Third Section: On Subtraction -- Fourth Section: On Multiplication of Polynomials -- Fifth Section: On the division of terms by each other -- Sixth Section: On the extraction of the roots of these expressions and the square root of any power -- Seventh Section: On Algebraic Problems -- Eight Section: On How to Find the Unknown in the Mentioned Six Known Problems -- Ninth Section: On How to Extract the Unknown -- Tenth Section: On What We Promised to Mention -- Second Chapter: On Finding the Unknown using the Rule of Double False Position -- Third Chapter: On Including some Arithmetic Rules that are much Needed for Finding the Unknowns -- The First Rule -- The Second Rule -- The Third Rule -- The Fourth Rule -- The Fifth Rule -- The Sixth Rule -- The Seventh Rule -- The Eighth Rule -- The Ninth Rule -- The Tenth-Twelfth Rules -- The Thirteenth-Fifteenth Rules -- The Sixteenth Rule -- The Seventeenth-Twenty-First Rules -- The Twenty-Second-Twenty-Sixth Rules -- The Twenty-Seventh-Twenty-Ninth Rules -- The Thirtieth-Thirty-Third Rules -- The Thirty-Fourth-Thirty-Seventh Rules -- The Thirty-Eighth-Thirty-Ninth Rules -- The Fortieth-Forty-First Rules -- The Forty-Second-Forty-Fifth Rules -- The Forty-Sixth-Forty-Ninth Rules -- The Fiftieth Rule.
Fourth Chapter: On Examples -- First Section: Twenty-Five Examples -- Second Section: Eight Examples on Wills -- Third Section: Eight Examples in Which the Unknown is Found Using Geometric Rules -- Glossary -- Bibliography. |
| Record Nr. | UNISA-996466416903316 |
Aydin Nuh
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| Cham, Switzerland : , : Springer, , [2022] | ||
| Lo trovi qui: Univ. di Salerno | ||
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Al-Kashi's Miftaḥ al-Ḥisab . Volume 3 : translation and commentary : Algebra / / Nuh Aydin, Lakhdar Hammoudi, Ghada Bakbouk
| Al-Kashi's Miftaḥ al-Ḥisab . Volume 3 : translation and commentary : Algebra / / Nuh Aydin, Lakhdar Hammoudi, Ghada Bakbouk |
| Autore | Aydin Nuh |
| Pubbl/distr/stampa | Cham, Switzerland : , : Springer, , [2022] |
| Descrizione fisica | 1 online resource (285 pages) |
| Disciplina | 512 |
| Soggetto topico |
Algebra
Àlgebra |
| Soggetto genere / forma | Llibres electrònics |
| ISBN | 3-030-96615-1 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto |
Intro -- Preface -- Contents -- Introduction -- A Biography of al-Kashı and a Brief History -- Al-Kashı's Letters: Invaluable Source -- Ulugh Beg in al-Kashı's Letters -- Samarkand in al-Kashı's letters: Center of Knowledge -- List of al-Kashı's Known Works -- Manuscript Copies of Miftah -- Pedagogical Aspects of Miftah -- Possible Future Projects -- Notes on Translation and the Purpose of This Work -- Original Table of Contents of The Fifth Treatise -- The Fifth Treatise -- First Chapter: On Algebra -- First Section: On Definitions and Terminology -- Second Section: On the Addition of Monomials -- Third Section: On Subtraction -- Fourth Section: On Multiplication of Polynomials -- Fifth Section: On the division of terms by each other -- Sixth Section: On the extraction of the roots of these expressions and the square root of any power -- Seventh Section: On Algebraic Problems -- Eight Section: On How to Find the Unknown in the Mentioned Six Known Problems -- Ninth Section: On How to Extract the Unknown -- Tenth Section: On What We Promised to Mention -- Second Chapter: On Finding the Unknown using the Rule of Double False Position -- Third Chapter: On Including some Arithmetic Rules that are much Needed for Finding the Unknowns -- The First Rule -- The Second Rule -- The Third Rule -- The Fourth Rule -- The Fifth Rule -- The Sixth Rule -- The Seventh Rule -- The Eighth Rule -- The Ninth Rule -- The Tenth-Twelfth Rules -- The Thirteenth-Fifteenth Rules -- The Sixteenth Rule -- The Seventeenth-Twenty-First Rules -- The Twenty-Second-Twenty-Sixth Rules -- The Twenty-Seventh-Twenty-Ninth Rules -- The Thirtieth-Thirty-Third Rules -- The Thirty-Fourth-Thirty-Seventh Rules -- The Thirty-Eighth-Thirty-Ninth Rules -- The Fortieth-Forty-First Rules -- The Forty-Second-Forty-Fifth Rules -- The Forty-Sixth-Forty-Ninth Rules -- The Fiftieth Rule.
Fourth Chapter: On Examples -- First Section: Twenty-Five Examples -- Second Section: Eight Examples on Wills -- Third Section: Eight Examples in Which the Unknown is Found Using Geometric Rules -- Glossary -- Bibliography. |
| Record Nr. | UNINA-9910556892603321 |
Aydin Nuh
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| Cham, Switzerland : , : Springer, , [2022] | ||
| Lo trovi qui: Univ. Federico II | ||
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Algebra : Chapter 8 / / N. Bourbaki and Reinie Erné
| Algebra : Chapter 8 / / N. Bourbaki and Reinie Erné |
| Autore | Bourbaki N. |
| Edizione | [1st ed. 2022.] |
| Pubbl/distr/stampa | Cham, Switzerland : , : Springer Nature Switzerland AG, , [2023] |
| Descrizione fisica | 1 online resource (505 pages) |
| Disciplina | 512.4 |
| Soggetto topico |
Algebra
Àlgebra |
| Soggetto genere / forma | Llibres electrònics |
| ISBN | 3-031-19293-1 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto | Artinian Modules and Noetherian Modules -- The Structure of Modules of Finite Length -- Simple Modules -- Semisimple Modules -- Commutation -- Morita Equivalence of Modules and Algebras -- Simple Rings -- Semisimple Rings -- Radical -- Modules over an Artinian Ring -- Grothendieck Groups -- Tensor Products of Semisimple Modules -- Absolutely Semisimple Algebras -- Central Simple Algebras -- Brauer Groups -- Other Descriptions of the Brauer Group -- Reduced Norms and Traces -- Simple Algebras over a Finite Field -- Quaternion Algebras -- Linear Representations of Algebras -- Linear Representations of Finite Groups -- Algebras without Unit Element -- Determinants over a Noncommunitative Field -- Hilbert's Nullstellensatz -- Trace of an Endomorphism of Finite Rank -- Historical Note -- Bibliography -- Notation Index -- Terminology Index. |
| Record Nr. | UNINA-9910682564303321 |
Bourbaki N.
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| Cham, Switzerland : , : Springer Nature Switzerland AG, , [2023] | ||
| Lo trovi qui: Univ. Federico II | ||
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Algebra : Chapter 8 / / N. Bourbaki and Reinie Erné
| Algebra : Chapter 8 / / N. Bourbaki and Reinie Erné |
| Autore | Bourbaki N. |
| Edizione | [1st ed. 2022.] |
| Pubbl/distr/stampa | Cham, Switzerland : , : Springer Nature Switzerland AG, , [2023] |
| Descrizione fisica | 1 online resource (505 pages) |
| Disciplina | 512.4 |
| Soggetto topico |
Algebra
Àlgebra |
| Soggetto genere / forma | Llibres electrònics |
| ISBN | 3-031-19293-1 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto | Artinian Modules and Noetherian Modules -- The Structure of Modules of Finite Length -- Simple Modules -- Semisimple Modules -- Commutation -- Morita Equivalence of Modules and Algebras -- Simple Rings -- Semisimple Rings -- Radical -- Modules over an Artinian Ring -- Grothendieck Groups -- Tensor Products of Semisimple Modules -- Absolutely Semisimple Algebras -- Central Simple Algebras -- Brauer Groups -- Other Descriptions of the Brauer Group -- Reduced Norms and Traces -- Simple Algebras over a Finite Field -- Quaternion Algebras -- Linear Representations of Algebras -- Linear Representations of Finite Groups -- Algebras without Unit Element -- Determinants over a Noncommunitative Field -- Hilbert's Nullstellensatz -- Trace of an Endomorphism of Finite Rank -- Historical Note -- Bibliography -- Notation Index -- Terminology Index. |
| Record Nr. | UNISA-996518464403316 |
Bourbaki N.
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| Cham, Switzerland : , : Springer Nature Switzerland AG, , [2023] | ||
| Lo trovi qui: Univ. di Salerno | ||
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Algebra 4 : lie algebras, Chevalley groups, and their representations / / Ramji Lal
| Algebra 4 : lie algebras, Chevalley groups, and their representations / / Ramji Lal |
| Autore | Lal Ramji |
| Pubbl/distr/stampa | Singapore : , : Springer, , [2021] |
| Descrizione fisica | 1 online resource (332 pages) |
| Disciplina | 512.9 |
| Collana | Infosys Science Foundation Series |
| Soggetto topico |
Algebra
Àlgebra Llibres de text |
| Soggetto genere / forma | Llibres electrònics |
| ISBN | 981-16-0475-4 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto | Intro -- Preface -- Contents -- About the Author -- Notations -- 1 Lie Algebras -- 1.1 Definitions and Examples -- 1.2 Universal Enveloping Algebras: PBW Theorem -- 1.3 Solvable and Nilpotent Lie Algebras -- 1.4 Semi-Simple Lie Algebras -- 1.5 Extensions of Lie Algebras and Co-homology -- 2 Semi-Simple Lie Algebras and Root Systems -- 2.1 Root Space Decomposition -- 2.2 Root Systems -- 2.3 Dynkin Diagram and the Classification of Root Systems -- 2.4 Conjugacy Theorem, Existence and Uniqueness Theorems -- 3 Representation Theory of Lie Algebras -- 3.1 Theorems of Ado and Iwasawa -- 3.2 Cyclic Modules and Weights -- 3.3 Characters and Harish-Chandra's Theorem -- 3.4 Multiplicity Formulas of Weyl, Kostant, and Steinberg -- 4 Chevalley Groups -- 4.1 Classical Linear Groups -- 4.2 Chevalley Basis -- 4.3 Chevalley Groups -- 4.4 Twisted Groups -- 5 Representation Theory of Chevalley Groups -- 5.1 Language of Representation Theory -- 5.2 Representations of Sn, and of GL(2.q) -- 5.3 Steinberg Characters -- 5.4 Principal and Discrete Series Representations -- 5.5 Deligne-Lusztig Generalized Characters -- Appendix Bibliography -- -- Index. |
| Altri titoli varianti | Algebra four |
| Record Nr. | UNISA-996466559403316 |
Lal Ramji
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| Singapore : , : Springer, , [2021] | ||
| Lo trovi qui: Univ. di Salerno | ||
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Algebra 4 : lie algebras, Chevalley groups, and their representations / / Ramji Lal
| Algebra 4 : lie algebras, Chevalley groups, and their representations / / Ramji Lal |
| Autore | Lal Ramji |
| Pubbl/distr/stampa | Singapore : , : Springer, , [2021] |
| Descrizione fisica | 1 online resource (332 pages) |
| Disciplina | 512.9 |
| Collana | Infosys Science Foundation Series |
| Soggetto topico |
Algebra
Àlgebra Llibres de text |
| Soggetto genere / forma | Llibres electrònics |
| ISBN | 981-16-0475-4 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto | Intro -- Preface -- Contents -- About the Author -- Notations -- 1 Lie Algebras -- 1.1 Definitions and Examples -- 1.2 Universal Enveloping Algebras: PBW Theorem -- 1.3 Solvable and Nilpotent Lie Algebras -- 1.4 Semi-Simple Lie Algebras -- 1.5 Extensions of Lie Algebras and Co-homology -- 2 Semi-Simple Lie Algebras and Root Systems -- 2.1 Root Space Decomposition -- 2.2 Root Systems -- 2.3 Dynkin Diagram and the Classification of Root Systems -- 2.4 Conjugacy Theorem, Existence and Uniqueness Theorems -- 3 Representation Theory of Lie Algebras -- 3.1 Theorems of Ado and Iwasawa -- 3.2 Cyclic Modules and Weights -- 3.3 Characters and Harish-Chandra's Theorem -- 3.4 Multiplicity Formulas of Weyl, Kostant, and Steinberg -- 4 Chevalley Groups -- 4.1 Classical Linear Groups -- 4.2 Chevalley Basis -- 4.3 Chevalley Groups -- 4.4 Twisted Groups -- 5 Representation Theory of Chevalley Groups -- 5.1 Language of Representation Theory -- 5.2 Representations of Sn, and of GL(2.q) -- 5.3 Steinberg Characters -- 5.4 Principal and Discrete Series Representations -- 5.5 Deligne-Lusztig Generalized Characters -- Appendix Bibliography -- -- Index. |
| Altri titoli varianti | Algebra four |
| Record Nr. | UNINA-9910484402103321 |
Lal Ramji
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| Singapore : , : Springer, , [2021] | ||
| Lo trovi qui: Univ. Federico II | ||
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Algebra and Its Applications : ICAA-2023, Fez, Morocco, July 12–15 / / edited by Manoj Kumar Patel, Mohammad Ashraf, Najib Mahdou, Hwankoo Kim
| Algebra and Its Applications : ICAA-2023, Fez, Morocco, July 12–15 / / edited by Manoj Kumar Patel, Mohammad Ashraf, Najib Mahdou, Hwankoo Kim |
| Autore | Patel Manoj Kumar |
| Edizione | [1st ed. 2025.] |
| Pubbl/distr/stampa | Singapore : , : Springer Nature Singapore : , : Imprint : Springer, , 2025 |
| Descrizione fisica | 1 online resource (797 pages) |
| Disciplina | 512 |
| Altri autori (Persone) |
AshrafMohammad <1959->
MahdouNajib KimHwankoo |
| Collana | Springer Proceedings in Mathematics & Statistics |
| Soggetto topico |
Algebra
Cryptography Data encryption (Computer science) Coding theory Information theory Graph theory Cryptology Coding and Information Theory Graph Theory Àlgebra Criptografia Xifratge (Informàtica) Teoria de la informació Teoria de grafs |
| Soggetto genere / forma | Llibres electrònics |
| ISBN |
9789819767984
9819767989 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto | Ali Benhissi, Strongly Hopfian rings of formal power series and power series Armendariz rings in infinitely many variables -- A. Dabbabi, Some results on S-VSFT commutative rings -- V. Kakkar, Zappa-Szep product of right admissible groups -- W. Rehman, Binary quantum codes from cyclic codes over Ru,v -- Mohd Nazim, On the genus and cross cap of the extended sum Annihilating-ideal graph of commutative rings -- Pragneshkumar R. Makwana, Investigation of Ideal and Spectrum of Different Products on Matrices -- B. Sonar, On Spectrum of Neighbourhood Corona Product of Signed Graphs -- V. Kumar, A Study of Key Exchange Protocol Using Quasidirect Product of Groups -- Manjil P. Saikia, On K-Facile Perfect Perfect Numbers -- M. Kumari, On the role of generalized Fibonacci matrices as key in modified ECC -- P. Gupta, On the Relation of Pure Projective Modules with Other Modules -- W. Ahmed, On lie ideals with generalized Homoderivations in prime rings -- Ashok Ji Gupta, Salted cubic unbalanced oil and vinegar digital signature -- R. G. Ghumde, A note on regular qclean rings -- B. Chatterjee, One type of finitely generated minimal linear code over the ring Z2n -- P. Singh, Reductions and sally module -- A. S Odyuo, The ψ-labeling on decomposition of complete bipartite graphs -- R. Kumar, A Finite Non-Abelian SR-Group G2n -- K. Prasad, Sedenion algebra of the k-Mersenne and k-Mersenne-Lucas -- A. Uddin Ansari, Graded Uniformly S-Noetherian Modules -- M. R. Mozumder, A note on differential identities in s-prime ring with generalized Derivations -- H. Chakraborty, Iso M-Artinian (Noetherian) Modules and Rings -- S. Rani, On Hamming distance and RT distance of class of constacyclic codes over FpnuFpnut-1Fpn -- N. Mahdou, Uniform coherence in amalgamated algebra Along an ideal -- S. Pirzada, Distance Laplacian Spectrum and energy of commuting conjugacy class Graphs -- M. Ashraf, Nonlinear ∗-Lie higher derivations of unital ∗-Algebras -- C. Bakkari, Rings in which every ideal is S-weakly Prime ideal -- S. Bouchiba, On п-V-modules -- David E. Dobbs, Using integral closure to characterize going-down domains, Ii -- R. Tribak, On a generalization of C4-Modules. |
| Record Nr. | UNINA-9910983052103321 |
Patel Manoj Kumar
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| Singapore : , : Springer Nature Singapore : , : Imprint : Springer, , 2025 | ||
| Lo trovi qui: Univ. Federico II | ||
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Algebra and related topics with applications : ICARTA-2019, Aligarh, India, December 17-19 / / Mohammad Ashraf, Asma Ali, Vincenzo De Filippis, editors
| Algebra and related topics with applications : ICARTA-2019, Aligarh, India, December 17-19 / / Mohammad Ashraf, Asma Ali, Vincenzo De Filippis, editors |
| Pubbl/distr/stampa | Singapore : , : Springer, , [2022] |
| Descrizione fisica | 1 online resource (492 pages) |
| Disciplina | 512.9 |
| Collana | Springer proceedings in mathematics & statistics |
| Soggetto topico |
Algebra
Àlgebra |
| Soggetto genere / forma | Congressos |
| ISBN | 981-19-3898-9 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto |
Intro -- Organization -- Preface -- Contents -- About the Editors -- *-1.5pc Algebra -- Characterization of b-generalized Derivations in Rings with Involution -- 1 Introduction -- 2 Results -- References -- Jordan Generalized n-derivations of Unital Algebras Containing Idempotents -- 1 Introduction -- 2 Preliminaries -- 3 Multiplicative Jordan Generalized n-derivation -- 4 Applications -- References -- Variational Analysis of Approximate Defective Eigenvalues -- 1 Introduction -- 2 Approximate Multiple Eigenvalues -- 3 Approximate Defective Eigenvalues -- References -- Structure of Prime Near Rings with Generalized Derivations -- 1 Introduction -- 2 Main Results -- References -- w-FP-projective Modules and Dimensions -- 1 Introduction -- 2 W-FP-projective Modules -- 3 The W-FP-projective Dimension of Modules and Rings -- References -- Central Values of X-generalized Skew Derivations on Right Ideals in Prime Rings -- 1 Introduction -- 2 An Auxiliary Generalized Polynomial Identity -- 3 The Case of Inner X-generalized Skew Derivations -- 4 The Main Result for Prime Rings -- 5 The Main Result -- 5.1 The Proof of Theorem 3 -- References -- Commutative Polynomial Rings which are Principal Ideal Rings -- 1 Introduction -- 2 Structure Theorem of PIRs -- 3 Characterization of Polynomial Rings that Are PIRs -- 4 Non-principal Ideals in Some Polynomial Rings -- References -- Two Remarks on Generalized Skew Derivations in Prime Rings -- 1 Annihilating Condition for a Single Generalized Skew Derivation -- 2 Annihilating Conditions for Two Generalized Skew Derivations -- References -- Dimensional Dual Hyperovals-An Updated Survey -- 1 Introduction -- 1.1 The Definition -- 1.2 Basic Notions -- 2 DHOs over mathbbFq, q> -- 2 -- 2.1 Odd Characteristic -- 2.2 Even Characteristic -- 3 Split DHOs and DHO Sets -- 4 DHOs with Ambient Spaces of Maximal Rank.
4.1 Yoshiara's Upper Bound for the Rank of an Ambient Space -- 4.2 DHOs Meeting Yoshiara's (Conjectured) Bound for the Rank of an Ambient Space -- 4.3 calVn(q), calHn, calDn and calTn Are Split -- 4.4 Bilinear DHOs Whose Ambient Space Has Maximal Rank -- 5 Quotients of DHOs -- 5.1 Universal Covers -- 5.2 Quotients of the Veronesean DHOs -- 5.3 Quotients of the Huybrechts DHOs -- 5.4 Quotients of the Buratti-Del Fra DHOs -- 5.5 Quotients of the Taniguchi DHOs -- 6 Duality -- 6.1 Doubly Dual Hyperovals -- 6.2 DHOs in Polar Spaces -- 6.3 Knuth Operations -- 7 Secondary Constructions -- 7.1 Quotients of Spreads -- 7.2 Quotients of Orthogonal Spreads -- 7.3 Extensions of Bilinear DHOs -- 8 Direct Constructions -- 8.1 DHOs of Type calSc -- 8.2 DHOs Constructed with Presemifields -- 9 DHOs and Groups -- 9.1 DHOs with Many Translation Groups -- 9.2 DHOs with Many Extension Groups -- 9.3 Doubly Transitive DHOs -- 10 Miscellaneous Topics -- 10.1 Edel's Characterization of Alternating DHOs -- 10.2 Small DHOs over mathbbF2 -- References -- A Note on FMS Modules and FCP Extensions -- 1 Introduction -- 2 Results -- References -- A Pair of Derivations of Prime Rings with Involution -- 1 Some Preliminaries -- 2 Main Results -- References -- Basic One-Sided Ideals of Leavitt Path Algebras over Commutative Rings -- 1 Introduction -- 2 Preliminaries and Notation -- 3 Basic One-Sided Ideals -- 4 Minimal Basic Left Ideals Generated by a Vertex -- References -- On Certain *-differential Identities in Prime Rings with Involution -- 1 Introduction -- 2 The Main Results -- References -- On b-Generalized Derivations in Prime Rings -- 1 Introduction and Notations -- 2 The Results -- References -- Commutativity of ast-Prime Rings with Generalized Derivations on ast-Jordan Ideals -- 1 Introduction -- 2 Auxiliary Lemmas -- 3 Main Results -- 4 Examples -- References. Local Subsemigroups and Variants of Some Classes of Semigroups -- 1 Preliminaries -- 2 Local Subsemigroups and Variants of Full Transformation Semigroups -- 3 Variants of Symmetric Inverse Monoids -- 4 Local Subsemigroups and Variants of Symmetric Inverse Monoids -- References -- Closed Weak Supplemented Lattices -- 1 Introduction -- 2 Preliminaries -- 3 Closed Weak Supplemented Lattices -- References -- On Compatible Ring Structures of the Injective Hull of a Ring -- 1 Introduction -- 2 Essential Overrings Versus Rings of Quotients -- 3 More on Compatible Ring Structures of E(RR) -- References -- On Commutators Involving Derivations and Automorphisms in Prime Rings -- 1 Motivation -- 2 Preliminaries and Results -- References -- Modules Invariant Under Clean Endomorphisms of Their Injective Hulls -- 1 Introduction -- 2 Clean-Invariant Modules -- References -- A Note on Central Idempotents in Finite Group Rings of Symmetric Groups -- 1 Introduction -- 2 Proof (Theorem 1) -- References -- Jordan Product Preserving Generalized Skew Derivations on Lie Ideals -- 1 Introduction -- 2 Inner Generalized Skew Derivations -- 2.1 Proof of Proposition 2 -- 3 The Proof of Theorem 1 -- 3.1 Proof of Theorem 1 -- References -- Prime Rings with Generalized Derivations and Power Values on Lie Ideals -- 1 Introduction -- 2 Preliminary Results -- 3 When mathscrT Is Generalized Inner Derivations -- 4 The Study of General Case -- References -- *-1.5pc Coding Theory -- On the Purity of Resolutions of Stanley-Reisner Rings Associated to Reed-Muller Codes -- 1 Introduction -- 2 Reed-Muller Codes -- 3 Characterizations of Purity -- References -- Skew Constacyclic Codes over Fq+vFq -- 1 Introduction -- 2 Preliminaries -- 3 Gray Map and Linear Codes over R -- 4 v-Skew Constacyclic Codes over R -- 5 Applications -- 6 Conclusion -- References. Cyclic and LCD Codes over a Finite Commutative Semi-local Ring -- 1 Introduction -- 2 Basic Facts and Gray Map -- 3 Linear Codes over mathfrakR -- 4 Cyclic Codes over mathfrakR -- 5 LCD Codes over mathfrakR -- 6 Conclusion -- References -- *-1.5pc Graph Theory -- Some Recent Results on the Graphs of Finite-Dimensional Vector Spaces -- 1 Definitions and Preliminaries -- 2 Introduction -- 3 Non-zero Component Graphs on Finite-Dimensional Vector Spaces -- 4 Non-zero Component Union Graph of a Finite-Dimensional Vector Space -- 5 Distinct Component Graph on Finite-Dimensional Vector Space -- 6 Component Intersection Graphs on Finite-Dimensional Vector Spaces -- 7 Subspace Inclusion Graph mathcalIn(mathbbV) -- References -- Two Value Graph Magma Algebras and Amenability -- 1 Introduction -- 2 Preliminaries -- 3 Two Value Graph Magma Algebras -- 4 Commutative Two Value Graph Magmas -- 5 Amenable Bases for Commutative Two Value Graph Magma Algebras -- 6 Further Results on Commutative Two Value Graph Magma Algebras -- References -- Graph of Linear Transformations Over mathbbR -- 1 Introduction -- 2 Results -- References -- On Distance Laplacian (Signless) Eigenvalues of Commuting Graphs of Dihedral and Dicyclic Groups -- 1 Introduction -- 2 Distance Laplacian Spectra of the Commuting Graphs of D2n and Q4n -- 3 Distance Signless Laplacian Spectra of the Commuting Graphs of D2n and Q4n -- References -- Spectrum of Graphs over Rings: A Survey -- 1 Introduction -- 2 Spectrum of Graphs Associated to Rings -- 2.1 Zero-Divisor Graphs -- 3 Laplacian Spectrum of Graphs Associated to Rings -- 3.1 Unitary Cayley Graphs -- 3.2 Unit Graphs and Total Graphs -- References -- On a New Extension of Annihilating-Ideal Graph of Commutative Rings -- 1 Introduction -- 2 Connectedness of Extended Sum Annihilating-Ideal Graph. 3 Extended Sum Annihilating-Ideal Graph as Some Special Type of Graphs -- 4 Genus of Extended Sum Annihilating-Ideal Graph -- References -- Spectrum of the 3-zero-divisor Hypergraph of Some Classes of Local Rings -- 1 Introduction -- 2 Adjacency Matrix of mathcalH3(mathbbZpn) -- 3 Spectrum of mathcalH3(R) -- 4 Laplacian Spectrum of mathcalH3(R) -- References -- Complement of the Generalized Total Graph of Commutative Rings - A Survey -- 1 Introduction -- 2 Additive Graphs from Commutative Rings -- 3 Generalized Total Graphs -- 4 Complement of the Generalized Total Graph -- 5 Complement of the Generalized Total Graph of mathbbZn -- 6 Domination Properties of overlineGTP(mathbbZn) -- 7 Complement of the Generalized Total Graph of Fields -- References. |
| Record Nr. | UNINA-9910633922503321 |
| Singapore : , : Springer, , [2022] | ||
| Lo trovi qui: Univ. Federico II | ||
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