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Algebraic, Number Theoretic, and Topological Aspects of Ring Theory / / edited by Jean-Luc Chabert, Marco Fontana, Sophie Frisch, Sarah Glaz, Keith Johnson
| Algebraic, Number Theoretic, and Topological Aspects of Ring Theory / / edited by Jean-Luc Chabert, Marco Fontana, Sophie Frisch, Sarah Glaz, Keith Johnson |
| Autore | Chabert Jean-Luc |
| Edizione | [1st ed. 2023.] |
| Pubbl/distr/stampa | Cham : , : Springer International Publishing : , : Imprint : Springer, , 2023 |
| Descrizione fisica | 1 online resource (473 pages) |
| Disciplina | 512.4 |
| Altri autori (Persone) |
FontanaMarco
FrischSophie GlazSarah JohnsonKeith |
| Soggetto topico |
Associative rings
Associative algebras Commutative algebra Commutative rings Nonassociative rings Associative Rings and Algebras Commutative Rings and Algebras Non-associative Rings and Algebras Anells (Àlgebra) |
| Soggetto genere / forma | Llibres electrònics |
| ISBN | 3-031-28847-5 |
| Formato | Materiale a stampa  |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto | Paul-Jean Cahen (1946 – 2019) (Chabert) -- Bhargava’s exponential functions and Bernoulli numbers associated to the set of prime numbers (Adam) -- Polynomial root extensions (Anderson) -- Absorbing ideals in commutative rings: A survey (Badawi) -- Complement-finite ideals (Baeth) -- When is a group algebra antimatter? (Baghdadi) -- Yosida, Martínez, and A + B rings (Klingler) -- Functional identities and maps preserving two-sided zero products (Brešar) -- Bounded factorization and the ascending chain condition on principal ideals in generalized power series rings (Mooney) -- Probabilities and fixed divisors of integer polynomials (Chabert) -- Modules over trusses vs. modules over rings: Internal direct sums (Ferdania) -- A survey on essential-like properties of Prüfer v--multiplication domains (Tartarone) -- On the subatomicity of polynomial semidomains (Gotti) -- Invertibility, semistar operations, and the ring of finite fractions (Juett) -- The quadratic tree of a two-dimensional regular local ring (Olberding) -- Reductions and core of ideals in integral domains: some recent developments (Kabbaj) -- Valuative lattices and spectra (Lombardi) -- Building 3-variable homogeneous integer-valued polynomials using generalized projective planes Marie MacDonald Around Prūfer extensions of rings (Picavet) -- A survey on algebraic and homological properties of amalgamated algebras of commutative rings (Yassemi) -- The ring of integer-valued polynomials on 3 × 3 matrices and its integral closure (Sodhi) -- Simultaneous p-orderings and equidistribution (Szumowicz) -- A survey on flatness in integer-valued polynomial rings (Tamoussit) -- Equivalent characterizations of non-Archimedean uniform spaces (Windisch). |
| Record Nr. | UNINA-9910734839203321 |
Chabert Jean-Luc
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| Cham : , : Springer International Publishing : , : Imprint : Springer, , 2023 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
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Classically semisimple rings : a perspective through modules and categories / / Martin Mathieu
| Classically semisimple rings : a perspective through modules and categories / / Martin Mathieu |
| Autore | Mathieu Martin |
| Pubbl/distr/stampa | Cham, Switzerland : , : Springer, , [2022] |
| Descrizione fisica | 1 online resource (159 pages) |
| Disciplina | 512.4 |
| Soggetto topico | Anells (Àlgebra) |
| Soggetto genere / forma | Llibres electrònics |
| ISBN |
9783031142093
9783031142086 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto |
Intro -- Preface -- Contents -- Introduction -- 1 Motivation from Ring Theory -- 1.1 Basics on Modules -- 1.1.1 Reducing Complicated Rings to Simpler Ones -- 1.1.2 One-Sided Ideals in Noncommutative Rings -- 1.1.3 Images of Ideals Under Homomorphisms -- 1.1.4 Embedding into the Endomorphism Ring and General Representations -- 1.1.5 Group Representations -- 1.2 Categories of Modules -- 1.3 Exercises -- 2 Constructions with Modules -- 2.1 Some Special Morphisms -- 2.2 Quotient Modules -- 2.3 Generating Modules -- 2.4 Direct Sums and Products of Modules -- 2.5 Free Modules -- 2.6 Special Objects in a Category -- 2.6.1 Free Objects -- 2.6.2 Products and Coproducts -- 2.7 Exercises -- 3 The Isomorphism Theorems -- 3.1 Isomorphisms Between Modules -- 3.2 Functors and Natural Transformations -- 3.3 Exercises -- 4 Noetherian Modules -- 4.1 Permanence Properties of Noetherian Modules -- 4.2 Exact Categories and Exact Functors -- 4.2.1 Kernels and Cokernels -- 4.2.2 Exact Categories -- 4.2.3 Exact Functors -- 4.3 Exercises -- 5 Artinian Modules -- 5.1 Finitely Cogenerated Modules -- 5.2 Commutative Artinian Rings -- 5.3 Artinian vs. Noetherian Modules -- 5.4 Abelian Categories -- 5.5 Exercises -- 6 Simple and Semisimple Modules -- 6.1 Decomposition of Modules -- 6.2 Projective and Injective Modules -- 6.3 Projective and Injective Objects -- 6.4 Exercises -- 7 The Artin-Wedderburn Theorem -- 7.1 The Structure of Semisimple Rings -- 7.2 Maschke's Theorem -- 7.3 The Hopkins-Levitzki Theorem -- 7.4 Exercises -- 8 Tensor Products of Modules -- 8.1 Tensor Product of Modules -- 8.2 Tensor Product of Algebras -- 8.3 Adjoint Functors -- 8.4 Exercises -- 9 Exchange Modules and Exchange Rings -- 9.1 Basic Properties of Exchange Modules -- 9.2 Exchange Rings -- 9.3 Commutative Exchange Rings -- 9.4 Exercises -- 10 Semiprimitivity of Group Rings.
10.1 Basic Properties -- 10.2 Some Analytic Structure on ps: [/EMC pdfmark [/objdef Equ /Subtype /Span /ActualText (double struck upper C left bracket upper G right bracket) /StPNE pdfmark [/StBMC pdfmarkC[G]ps: [/EMC pdfmark [/StPop pdfmark [/StBMC pdfmark -- 10.3 The Semiprimitivity Problem -- 10.4 Exercises -- Bibliography -- Index of Symbols -- Index. |
| Record Nr. | UNINA-9910637742003321 |
|
Mathieu Martin
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| Cham, Switzerland : , : Springer, , [2022] | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
Classically semisimple rings : a perspective through modules and categories / / Martin Mathieu
| Classically semisimple rings : a perspective through modules and categories / / Martin Mathieu |
| Autore | Mathieu Martin |
| Pubbl/distr/stampa | Cham, Switzerland : , : Springer, , [2022] |
| Descrizione fisica | 1 online resource (159 pages) |
| Disciplina | 512.4 |
| Soggetto topico | Anells (Àlgebra) |
| Soggetto genere / forma | Llibres electrònics |
| ISBN |
9783031142093
9783031142086 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto |
Intro -- Preface -- Contents -- Introduction -- 1 Motivation from Ring Theory -- 1.1 Basics on Modules -- 1.1.1 Reducing Complicated Rings to Simpler Ones -- 1.1.2 One-Sided Ideals in Noncommutative Rings -- 1.1.3 Images of Ideals Under Homomorphisms -- 1.1.4 Embedding into the Endomorphism Ring and General Representations -- 1.1.5 Group Representations -- 1.2 Categories of Modules -- 1.3 Exercises -- 2 Constructions with Modules -- 2.1 Some Special Morphisms -- 2.2 Quotient Modules -- 2.3 Generating Modules -- 2.4 Direct Sums and Products of Modules -- 2.5 Free Modules -- 2.6 Special Objects in a Category -- 2.6.1 Free Objects -- 2.6.2 Products and Coproducts -- 2.7 Exercises -- 3 The Isomorphism Theorems -- 3.1 Isomorphisms Between Modules -- 3.2 Functors and Natural Transformations -- 3.3 Exercises -- 4 Noetherian Modules -- 4.1 Permanence Properties of Noetherian Modules -- 4.2 Exact Categories and Exact Functors -- 4.2.1 Kernels and Cokernels -- 4.2.2 Exact Categories -- 4.2.3 Exact Functors -- 4.3 Exercises -- 5 Artinian Modules -- 5.1 Finitely Cogenerated Modules -- 5.2 Commutative Artinian Rings -- 5.3 Artinian vs. Noetherian Modules -- 5.4 Abelian Categories -- 5.5 Exercises -- 6 Simple and Semisimple Modules -- 6.1 Decomposition of Modules -- 6.2 Projective and Injective Modules -- 6.3 Projective and Injective Objects -- 6.4 Exercises -- 7 The Artin-Wedderburn Theorem -- 7.1 The Structure of Semisimple Rings -- 7.2 Maschke's Theorem -- 7.3 The Hopkins-Levitzki Theorem -- 7.4 Exercises -- 8 Tensor Products of Modules -- 8.1 Tensor Product of Modules -- 8.2 Tensor Product of Algebras -- 8.3 Adjoint Functors -- 8.4 Exercises -- 9 Exchange Modules and Exchange Rings -- 9.1 Basic Properties of Exchange Modules -- 9.2 Exchange Rings -- 9.3 Commutative Exchange Rings -- 9.4 Exercises -- 10 Semiprimitivity of Group Rings.
10.1 Basic Properties -- 10.2 Some Analytic Structure on ps: [/EMC pdfmark [/objdef Equ /Subtype /Span /ActualText (double struck upper C left bracket upper G right bracket) /StPNE pdfmark [/StBMC pdfmarkC[G]ps: [/EMC pdfmark [/StPop pdfmark [/StBMC pdfmark -- 10.3 The Semiprimitivity Problem -- 10.4 Exercises -- Bibliography -- Index of Symbols -- Index. |
| Record Nr. | UNISA-996503549603316 |
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Mathieu Martin
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| Cham, Switzerland : , : Springer, , [2022] | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. di Salerno | ||
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Ring Theory / / by Dinesh Khattar, Neha Agrawal
| Ring Theory / / by Dinesh Khattar, Neha Agrawal |
| Autore | Khattar Dinesh |
| Edizione | [1st ed. 2023.] |
| Pubbl/distr/stampa | Cham : , : Springer International Publishing : , : Imprint : Springer, , 2023 |
| Descrizione fisica | 1 online resource (301 pages) |
| Disciplina | 618 |
| Soggetto topico |
Mathematics
Algebra Computer science Computer Science Anells (Àlgebra) |
| Soggetto genere / forma | Llibres electrònics |
| ISBN | 3-031-29440-8 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto | Rings -- Integral Domains and Fields -- Ideals and Factor Rings -- Ring Homomorphisms and Isomorphisms -- Polynomial Rings -- Factorization of Polynomials -- Divisibility in Integral Domains. |
| Record Nr. | UNINA-9910734861803321 |
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Khattar Dinesh
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| Cham : , : Springer International Publishing : , : Imprint : Springer, , 2023 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
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Rings, monoids and module theory : AUS-ICMS 2020, Sharjah, United Arab Emirates, February 6-9 / / Ayman Badawi and Jim Coykendall, editors
| Rings, monoids and module theory : AUS-ICMS 2020, Sharjah, United Arab Emirates, February 6-9 / / Ayman Badawi and Jim Coykendall, editors |
| Pubbl/distr/stampa | Singapore : , : Springer, , [2022] |
| Descrizione fisica | 1 online resource (317 pages) |
| Disciplina | 512.74 |
| Collana | Springer Proceedings in Mathematics & Statistics |
| Soggetto topico |
Modules (Algebra)
Anells (Àlgebra) Monoides Mòduls (Àlgebra) |
| Soggetto genere / forma |
Congressos
Llibres electrònics |
| ISBN | 981-16-8422-7 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Record Nr. | UNINA-9910552720603321 |
| Singapore : , : Springer, , [2022] | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
Rings, monoids and module theory : AUS-ICMS 2020, Sharjah, United Arab Emirates, February 6-9 / / Ayman Badawi and Jim Coykendall, editors
| Rings, monoids and module theory : AUS-ICMS 2020, Sharjah, United Arab Emirates, February 6-9 / / Ayman Badawi and Jim Coykendall, editors |
| Pubbl/distr/stampa | Singapore : , : Springer, , [2022] |
| Descrizione fisica | 1 online resource (317 pages) |
| Disciplina | 512.74 |
| Collana | Springer Proceedings in Mathematics & Statistics |
| Soggetto topico |
Modules (Algebra)
Anells (Àlgebra) Monoides Mòduls (Àlgebra) |
| Soggetto genere / forma |
Congressos
Llibres electrònics |
| ISBN | 981-16-8422-7 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Record Nr. | UNISA-996466568703316 |
| Singapore : , : Springer, , [2022] | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. di Salerno | ||
| ||
Soggetto topico
-
Anells (Àlgebra)
(6)
- Modules (Algebra) (2)
- Monoides (2)
- Mòduls (Àlgebra) (2)
- Algebra (1)