Introductory lectures on rings and modules:
The focus of this book is the study of the noncommutative aspects of rings and modules, and the style will make it accessible to anyone with a background in basic abstract algebra. Features of interest include an early introduction of projective and injective modules; a module theoretic approach to...
Gespeichert in:
| 1. Verfasser: | |
|---|---|
| Format: | Elektronisch E-Book |
| Sprache: | English |
| Veröffentlicht: |
Cambridge
Cambridge University Press
1999
|
| Schriftenreihe: | London Mathematical Society student texts
47 |
| Schlagworte: | |
| Online-Zugang: | BSB01 FHN01 UBR01 Volltext |
| Zusammenfassung: | The focus of this book is the study of the noncommutative aspects of rings and modules, and the style will make it accessible to anyone with a background in basic abstract algebra. Features of interest include an early introduction of projective and injective modules; a module theoretic approach to the Jacobson radical and the Artin-Wedderburn theorem; the use of Baer's criterion for injectivity to prove the structure theorem for finitely generated modules over a principal ideal domain; and applications of the general theory to the representation theory of finite groups. Optional material includes a section on modules over the Weyl algebras and a section on Goldie's theorem. When compared to other more encyclopedic texts, the sharp focus of this book accommodates students meeting this material for the first time. It can be used as a first-year graduate text or as a reference for advanced undergraduates |
| Beschreibung: | 1 Online-Ressource (viii, 238 Seiten) |
| ISBN: | 9781139173315 |
| DOI: | 10.1017/CBO9781139173315 |
Internformat
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| 490 | 0 | |a London Mathematical Society student texts |v 47 | |
| 520 | |a The focus of this book is the study of the noncommutative aspects of rings and modules, and the style will make it accessible to anyone with a background in basic abstract algebra. Features of interest include an early introduction of projective and injective modules; a module theoretic approach to the Jacobson radical and the Artin-Wedderburn theorem; the use of Baer's criterion for injectivity to prove the structure theorem for finitely generated modules over a principal ideal domain; and applications of the general theory to the representation theory of finite groups. Optional material includes a section on modules over the Weyl algebras and a section on Goldie's theorem. When compared to other more encyclopedic texts, the sharp focus of this book accommodates students meeting this material for the first time. It can be used as a first-year graduate text or as a reference for advanced undergraduates | ||
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Datensatz im Suchindex
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| author | Beachy, John A. 1943- |
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| author_sort | Beachy, John A. 1943- |
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| dewey-full | 512/.4 |
| dewey-hundreds | 500 - Natural sciences and mathematics |
| dewey-ones | 512 - Algebra |
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| dewey-search | 512/.4 |
| dewey-sort | 3512 14 |
| dewey-tens | 510 - Mathematics |
| discipline | Mathematik |
| doi_str_mv | 10.1017/CBO9781139173315 |
| format | Electronic eBook |
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| illustrated | Not Illustrated |
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| isbn | 9781139173315 |
| language | English |
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| spelling | Beachy, John A. 1943- Verfasser (DE-588)143780190 aut Introductory lectures on rings and modules John A. Beachy Introductory Lectures on Rings & Modules Cambridge Cambridge University Press 1999 1 Online-Ressource (viii, 238 Seiten) txt rdacontent c rdamedia cr rdacarrier London Mathematical Society student texts 47 The focus of this book is the study of the noncommutative aspects of rings and modules, and the style will make it accessible to anyone with a background in basic abstract algebra. Features of interest include an early introduction of projective and injective modules; a module theoretic approach to the Jacobson radical and the Artin-Wedderburn theorem; the use of Baer's criterion for injectivity to prove the structure theorem for finitely generated modules over a principal ideal domain; and applications of the general theory to the representation theory of finite groups. Optional material includes a section on modules over the Weyl algebras and a section on Goldie's theorem. When compared to other more encyclopedic texts, the sharp focus of this book accommodates students meeting this material for the first time. It can be used as a first-year graduate text or as a reference for advanced undergraduates Noncommutative rings Modules (Algebra) Modul (DE-588)4129770-2 gnd rswk-swf Nichtkommutativer Ring (DE-588)4246997-1 gnd rswk-swf Nichtkommutativer Ring (DE-588)4246997-1 s Modul (DE-588)4129770-2 s DE-604 Erscheint auch als Druck-Ausgabe 978-0-521-64340-5 Erscheint auch als Druck-Ausgabe 978-0-521-64407-5 https://doi.org/10.1017/CBO9781139173315 Verlag URL des Erstveröffentlichers Volltext |
| spellingShingle | Beachy, John A. 1943- Introductory lectures on rings and modules Noncommutative rings Modules (Algebra) Modul (DE-588)4129770-2 gnd Nichtkommutativer Ring (DE-588)4246997-1 gnd |
| subject_GND | (DE-588)4129770-2 (DE-588)4246997-1 |
| title | Introductory lectures on rings and modules |
| title_alt | Introductory Lectures on Rings & Modules |
| title_auth | Introductory lectures on rings and modules |
| title_exact_search | Introductory lectures on rings and modules |
| title_full | Introductory lectures on rings and modules John A. Beachy |
| title_fullStr | Introductory lectures on rings and modules John A. Beachy |
| title_full_unstemmed | Introductory lectures on rings and modules John A. Beachy |
| title_short | Introductory lectures on rings and modules |
| title_sort | introductory lectures on rings and modules |
| topic | Noncommutative rings Modules (Algebra) Modul (DE-588)4129770-2 gnd Nichtkommutativer Ring (DE-588)4246997-1 gnd |
| topic_facet | Noncommutative rings Modules (Algebra) Modul Nichtkommutativer Ring |
| url | https://doi.org/10.1017/CBO9781139173315 |
| work_keys_str_mv | AT beachyjohna introductorylecturesonringsandmodules AT beachyjohna introductorylecturesonringsmodules |