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Algebra and logic : papers from the 1974 summer research institute of the Australian Mathematical Society, Monash University, Australia / / edited by J. N. Crossley
Algebra and logic : papers from the 1974 summer research institute of the Australian Mathematical Society, Monash University, Australia / / edited by J. N. Crossley
Edizione [1st ed. 1975.]
Pubbl/distr/stampa Berlin ; ; Heidelberg : , : Springer-Verlag, , [1975]
Descrizione fisica 1 online resource (X, 314 p.)
Disciplina 512
Collana Lecture Notes in Mathematics
Soggetto topico Algebra
Commutative rings
ISBN 3-540-37480-9
Formato Materiale a stampa
Livello bibliografico Monografia
Lingua di pubblicazione eng
Nota di contenuto Reminiscences of logicians -- Frames and models in modal logic -- A language and axioms for explicit mathematics -- Dimension theory of commutative polynomial rings -- Dimension theory of power series rings over a commutative ring -- Axiomatic classes in propositional modal logic -- Nilpotent actions on nilpotent groups -- Structure theorems for inverse semigroups -- Recursion theory and algebra -- An exposition of forcing -- Logic and foundations -- Church-Rosser theorems for replacement systems.
Record Nr. UNISA-996466860903316
Berlin ; ; Heidelberg : , : Springer-Verlag, , [1975]
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Algebra and logic
Algebra and logic
Pubbl/distr/stampa [New York, N.Y.], : Plenum Pub
Disciplina 511.324
Soggetto topico Algebraic logic
Algebra
Logic, Symbolic and mathematical
Logique algébrique
Algèbre
Logic
Logica
Soggetto genere / forma Periodicals.
ISSN 1573-8302
Formato Materiale a stampa
Livello bibliografico Periodico
Lingua di pubblicazione eng
Record Nr. UNINA-9910141124203321
[New York, N.Y.], : Plenum Pub
Materiale a stampa
Lo trovi qui: Univ. Federico II
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Algebra and logic
Algebra and logic
Pubbl/distr/stampa [New York, N.Y.], : Plenum Pub
Disciplina 511.324
Soggetto topico Algebraic logic
Algebra
Logic, Symbolic and mathematical
Logique algébrique
Algèbre
Logic
Logica
Soggetto genere / forma Periodicals.
ISSN 1573-8302
Formato Materiale a stampa
Livello bibliografico Periodico
Lingua di pubblicazione eng
Record Nr. UNISA-996215985703316
[New York, N.Y.], : Plenum Pub
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Algebra and number theory : an integrated approach / Martyn R. Dixon, Leonid A. Kurdachenko, Igor Ya. Subbotin
Algebra and number theory : an integrated approach / Martyn R. Dixon, Leonid A. Kurdachenko, Igor Ya. Subbotin
Autore DIXON, Martyn Russell
Pubbl/distr/stampa Hoboken, N.J., : Wiley, 2010
Descrizione fisica Testo elettronico (PDF) (538 p.)
Disciplina 512.74
Altri autori (Persone) KURDACHENKO, Leonid A.
SUBBOTIN, Igor Ya. <1950->
Soggetto topico Algebra
ISBN 9780470640548
Formato Risorse elettroniche
Livello bibliografico Monografia
Lingua di pubblicazione eng
Record Nr. UNISA-996416849003316
DIXON, Martyn Russell  
Hoboken, N.J., : Wiley, 2010
Risorse elettroniche
Lo trovi qui: Univ. di Salerno
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Algebra and number theory [[electronic resource] ] : an integrated approach / / Martyn R. Dixon, Leonid A. Kurdachenko, Igor Ya. Subbotin
Algebra and number theory [[electronic resource] ] : an integrated approach / / Martyn R. Dixon, Leonid A. Kurdachenko, Igor Ya. Subbotin
Autore Dixon Martyn R (Martyn Russell), <1955->
Pubbl/distr/stampa Hoboken, N.J., : Wiley, c2010
Descrizione fisica 1 online resource (538 p.)
Disciplina 512
Altri autori (Persone) KurdachenkoL
SubbotinIgor Ya. <1950->
Soggetto topico Number theory
Algebra
ISBN 1-283-20343-X
9786613203434
0-470-64054-5
0-470-64053-7
Formato Materiale a stampa
Livello bibliografico Monografia
Lingua di pubblicazione eng
Nota di contenuto Algebra and Number Theory: An Integrated Approach; CONTENTS; PREFACE; CHAPTER 1 SETS; 1.1 Operations on Sets; Exercise Set 1.1; 1.2 Set Mappings; Exercise Set 1.2; 1.3 Products of Mappings; Exercise Set 1.3; 1.4 Some Properties of Integers; Exercise Set 1.4; CHAPTER 2 MATRICES AND DETERMINANTS; 2.1 Operations on Matrices; Exercise Set 2.1; 2.2 Permutations of Finite Sets; Exercise Set 2.2; 2.3 Determinants of Matrices; Exercise Set 2.3; 2.4 Computing Determinants; Exercise Set 2.4; 2.5 Properties of the Product of Matrices; Exercise Set 2.5; CHAPTER 3 FIELDS; 3.1 Binary Algebraic Operations
Exercise Set 3.13.2 Basic Properties of Fields; Exercise Set 3.2; 3.3 The Field of Complex Numbers; Exercise Set 3.3; CHAPTER 4 VECTOR SPACES; 4.1 Vector Spaces; Exercise Set 4.1; 4.2 Dimension; Exercise Set 4.2; 4.3 The Rank of a Matrix; Exercise Set 4.3; 4.4 Quotient Spaces; Exercise Set 4.4; CHAPTER 5 LINEAR MAPPINGS; 5.1 Linear Mappings; Exercise Set 5.1; 5.2 Matrices of Linear Mappings; Exercise Set 5.2; 5.3 Systems of Linear Equations; Exercise Set 5.3; 5.4 Eigenvectors and Eigenvalues; Exercise Set 5.4; CHAPTER 6 BILINEAR FORMS; 6.1 Bilinear Forms; Exercise Set 6.1; 6.2 Classical Forms
Exercise Set 6.26.3 Symmetric Forms over R; Exercise Set 6.3; 6.4 Euclidean Spaces; Exercise Set 6.4; CHAPTER 7 RINGS; 7.1 Rings, Subrings, and Examples; Exercise Set 7.1; 7.2 Equivalence Relations; Exercise Set 7.2; 7.3 Ideals and Quotient Rings; Exercise Set 7.3; 7.4 Homomorphisms of Rings; Exercise Set 7.4; 7.5 Rings of Polynomials and Formal Power Series; Exercise Set 7.5; 7.6 Rings of Multivariable Polynomials; Exercise Set 7.6; CHAPTER 8 GROUPS; 8.1 Groups and Subgroups; Exercise Set 8.1; 8.2 Examples of Groups and Subgroups; Exercise Set 8.2; 8.3 Cosets; Exercise Set 8.3
8.4 Normal Subgroups and Factor GroupsExercise Set 8.4; 8.5 Homomorphisms of Groups; Exercise Set 8.5; CHAPTER 9 ARITHMETIC PROPERTIES OF RINGS; 9.1 Extending Arithmetic to Commutative Rings; Exercise Set 9.1; 9.2 Euclidean Rings; Exercise Set 9.2; 9.3 Irreducible Polynomials; Exercise Set 9.3; 9.4 Arithmetic Functions; Exercise Set 9.4; 9.5 Congruences; Exercise Set 9.5; CHAPTER 10 THE REAL NUMBER SYSTEM; 10.1 The Natural Numbers; 10.2 The Integers; 10.3 The Rationals; 10.4 The Real Numbers; ANSWERS TO SELECTED EXERCISES; INDEX
Record Nr. UNINA-9910133223003321
Dixon Martyn R (Martyn Russell), <1955->  
Hoboken, N.J., : Wiley, c2010
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Algebra and number theory : a selection of highlights / / Benjamin Fine [and four others]
Algebra and number theory : a selection of highlights / / Benjamin Fine [and four others]
Autore Fine Benjamin
Pubbl/distr/stampa Berlin, [Germany] ; ; Boston, [Massachusetts] : , : De Gruyter, , 2017
Descrizione fisica 1 online resource (332 pages) : illustrations
Disciplina 512.9
Collana De Gruyter Textbook
Soggetto topico Algebra
Number theory
Soggetto genere / forma Electronic books.
ISBN 3-11-051626-8
3-11-051614-4
Formato Materiale a stampa
Livello bibliografico Monografia
Lingua di pubblicazione eng
Nota di contenuto Frontmatter -- Preface -- Contents -- 1. The natural, integral and rational numbers -- 2. Division and factorization in the integers -- 3. Modular arithmetic -- 4. Exceptional numbers -- 5. Pythagorean triples and sums of squares -- 6. Polynomials and unique factorization -- 7. Field extensions and splitting fields -- 8. Permutations and symmetric polynomials -- 9. Real numbers -- 10. The complex numbers, the Fundamental Theorem of Algebra and polynomial equations -- 11. Quadratic number fields and Pell's equation -- 12. Transcendental numbers and the numbers e and π -- 13. Compass and straightedge constructions and the classical problems -- 14. Euclidean vector spaces -- Bibliography -- Index
Record Nr. UNINA-9910467837503321
Fine Benjamin  
Berlin, [Germany] ; ; Boston, [Massachusetts] : , : De Gruyter, , 2017
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Algebra and number theory : a selection of highlights / / Benjamin Fine [and four others]
Algebra and number theory : a selection of highlights / / Benjamin Fine [and four others]
Autore Fine Benjamin
Pubbl/distr/stampa Berlin, [Germany] ; ; Boston, [Massachusetts] : , : De Gruyter, , 2017
Descrizione fisica 1 online resource (332 pages) : illustrations
Disciplina 512.9
Collana De Gruyter Textbook
Soggetto topico Algebra
Number theory
ISBN 3-11-051626-8
3-11-051614-4
Formato Materiale a stampa
Livello bibliografico Monografia
Lingua di pubblicazione eng
Nota di contenuto Frontmatter -- Preface -- Contents -- 1. The natural, integral and rational numbers -- 2. Division and factorization in the integers -- 3. Modular arithmetic -- 4. Exceptional numbers -- 5. Pythagorean triples and sums of squares -- 6. Polynomials and unique factorization -- 7. Field extensions and splitting fields -- 8. Permutations and symmetric polynomials -- 9. Real numbers -- 10. The complex numbers, the Fundamental Theorem of Algebra and polynomial equations -- 11. Quadratic number fields and Pell's equation -- 12. Transcendental numbers and the numbers e and π -- 13. Compass and straightedge constructions and the classical problems -- 14. Euclidean vector spaces -- Bibliography -- Index
Record Nr. UNINA-9910795045003321
Fine Benjamin  
Berlin, [Germany] ; ; Boston, [Massachusetts] : , : De Gruyter, , 2017
Materiale a stampa
Lo trovi qui: Univ. Federico II
Opac: Controlla la disponibilità qui
Algebra and number theory : a selection of highlights / / Benjamin Fine [and four others]
Algebra and number theory : a selection of highlights / / Benjamin Fine [and four others]
Autore Fine Benjamin
Pubbl/distr/stampa Berlin, [Germany] ; ; Boston, [Massachusetts] : , : De Gruyter, , 2017
Descrizione fisica 1 online resource (332 pages) : illustrations
Disciplina 512.9
Collana De Gruyter Textbook
Soggetto topico Algebra
Number theory
ISBN 3-11-051626-8
3-11-051614-4
Formato Materiale a stampa
Livello bibliografico Monografia
Lingua di pubblicazione eng
Nota di contenuto Frontmatter -- Preface -- Contents -- 1. The natural, integral and rational numbers -- 2. Division and factorization in the integers -- 3. Modular arithmetic -- 4. Exceptional numbers -- 5. Pythagorean triples and sums of squares -- 6. Polynomials and unique factorization -- 7. Field extensions and splitting fields -- 8. Permutations and symmetric polynomials -- 9. Real numbers -- 10. The complex numbers, the Fundamental Theorem of Algebra and polynomial equations -- 11. Quadratic number fields and Pell's equation -- 12. Transcendental numbers and the numbers e and π -- 13. Compass and straightedge constructions and the classical problems -- 14. Euclidean vector spaces -- Bibliography -- Index
Record Nr. UNINA-9910824848503321
Fine Benjamin  
Berlin, [Germany] ; ; Boston, [Massachusetts] : , : De Gruyter, , 2017
Materiale a stampa
Lo trovi qui: Univ. Federico II
Opac: Controlla la disponibilità qui
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]
Materiale a stampa
Lo trovi qui: Univ. Federico II
Opac: Controlla la disponibilità qui
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
Llibres electrònics
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. UNISA-996499866603316
Singapore : , : Springer, , [2022]
Materiale a stampa
Lo trovi qui: Univ. di Salerno
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