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 approa...
Gespeichert in:
| 1. Verfasser: | |
|---|---|
| Format: | Elektronisch E-Book |
| Sprache: | English |
| Veröffentlicht: |
Cambridge ; New York :
Cambridge University Press,
1999.
|
| Schriftenreihe: | London Mathematical Society student texts ;
47. |
| Schlagworte: | |
| Online-Zugang: | 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. This book can be used as a first-year graduate text or as a reference for advanced undergraduates."--Jacket |
| Beschreibung: | 1 online resource (viii, 238 pages) |
| Bibliographie: | Includes bibliographical references (pages 229-230) and indexes. |
| ISBN: | 9781139173315 1139173316 9781107089174 1107089174 9781107095380 1107095387 |
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| spelling | Beachy, John A. Introductory lectures on rings and modules / John A. Beachy. Cambridge ; New York : Cambridge University Press, 1999. 1 online resource (viii, 238 pages) text txt rdacontent computer c rdamedia online resource cr rdacarrier London Mathematical Society student texts ; 47 Includes bibliographical references (pages 229-230) and indexes. "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. This book can be used as a first-year graduate text or as a reference for advanced undergraduates."--Jacket Print version record. Rings -- Modules -- Structure of noncommutative rings -- Representations of finite groups. Noncommutative rings. http://id.loc.gov/authorities/subjects/sh85092242 Modules (Algebra) http://id.loc.gov/authorities/subjects/sh85086470 Anneaux non commutatifs. Modules (Algèbre) MATHEMATICS Algebra Intermediate. bisacsh Modules (Algebra) fast Noncommutative rings fast Nichtkommutativer Ring gnd http://d-nb.info/gnd/4246997-1 Modul gnd http://d-nb.info/gnd/4129770-2 Anneaux non commutatifs. ram Modules (algèbre) ram Print version: Beachy, John A. Introductory lectures on rings and modules. Cambridge ; New York : Cambridge University Press, 1999 0521643406 (DLC) 98054417 (OCoLC)40516757 London Mathematical Society student texts ; 47. http://id.loc.gov/authorities/names/n84727069 FWS01 ZDB-4-EBA FWS_PDA_EBA https://search.ebscohost.com/login.aspx?direct=true&scope=site&db=nlebk&AN=570386 Volltext |
| spellingShingle | Beachy, John A. Introductory lectures on rings and modules / London Mathematical Society student texts ; Rings -- Modules -- Structure of noncommutative rings -- Representations of finite groups. Noncommutative rings. http://id.loc.gov/authorities/subjects/sh85092242 Modules (Algebra) http://id.loc.gov/authorities/subjects/sh85086470 Anneaux non commutatifs. Modules (Algèbre) MATHEMATICS Algebra Intermediate. bisacsh Modules (Algebra) fast Noncommutative rings fast Nichtkommutativer Ring gnd http://d-nb.info/gnd/4246997-1 Modul gnd http://d-nb.info/gnd/4129770-2 Anneaux non commutatifs. ram Modules (algèbre) ram |
| subject_GND | http://id.loc.gov/authorities/subjects/sh85092242 http://id.loc.gov/authorities/subjects/sh85086470 http://d-nb.info/gnd/4246997-1 http://d-nb.info/gnd/4129770-2 |
| title | Introductory lectures on rings and 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. http://id.loc.gov/authorities/subjects/sh85092242 Modules (Algebra) http://id.loc.gov/authorities/subjects/sh85086470 Anneaux non commutatifs. Modules (Algèbre) MATHEMATICS Algebra Intermediate. bisacsh Modules (Algebra) fast Noncommutative rings fast Nichtkommutativer Ring gnd http://d-nb.info/gnd/4246997-1 Modul gnd http://d-nb.info/gnd/4129770-2 Anneaux non commutatifs. ram Modules (algèbre) ram |
| topic_facet | Noncommutative rings. Modules (Algebra) Anneaux non commutatifs. Modules (Algèbre) MATHEMATICS Algebra Intermediate. Noncommutative rings Nichtkommutativer Ring Modul Modules (algèbre) |
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