Introductory Lectures on Rings and Modules

John A. Beachy

ISBN 10: 0521643406 / ISBN 13: 9780521643405

Published by Cambridge University Press, 1999

About this Item

Druck auf Anfrage Neuware - Printed after ordering - 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.

Seller Inventory # 9780521643405

Bibliographic Details

• Title: Introductory Lectures on Rings and Modules
• Publisher: Cambridge University Press
• Publication Date: 1999
• Language: English
• ISBN 10: 0521643406
• ISBN 13: 9780521643405
• Binding: Buch
• Condition: Neu
• Dimensions: 235W x 157H x 19D millimeters 235 millimeters width by 157 millimeters height by 19 millimeters depth
• Weight: 559 grams

About this title

Synopsis

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.

Book Description

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. 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.