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Algebras and representation theory
Algebras and representation theory
Pubbl/distr/stampa [Dordrecht], : Kluwer Academic Publishers
Descrizione fisica 1 online resource
Disciplina 512.4
Soggetto topico Rings (Algebra)
Representations of algebras
Representations of rings (Algebra)
Anneaux (Algèbre)
Représentations des algèbres
Représentations d'anneaux (Algèbre)
Anells (Àlgebra)
Representacions d'anells (Àlgebra)
Soggetto genere / forma Periodicals.
Revistes electròniques.
ISSN 1572-9079
Formato Materiale a stampa
Livello bibliografico Periodico
Lingua di pubblicazione eng
Record Nr. UNINA-9910142802203321
[Dordrecht], : Kluwer Academic Publishers
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. UNISA-996503549603316
Mathieu Martin  
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
Khattar Dinesh  
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
Opac: Controlla la disponibilità qui
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
Opac: Controlla la disponibilità qui