nach der Bestellung gedruckt Neuware - Printed after ordering - This book offers vital background information on methods for solving hard classification problems of algebraic structures. It explains how algebraists deal with the problem of the structure of modules over rings and how they make use of these structures to classify rings.

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Bibliographic Details

Title: Modules and the Structure of Rings : A Primer
Publisher: CRC Press
Publication Date: 2019
Language: English
ISBN 10: 0367450623
ISBN 13: 9780367450625
Binding: Taschenbuch
Condition: Neu
Dimensions: 234 millimeters width by 156 millimeters height by 16 millimeters depth
Weight: 442 grams

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Synopsis

This textbook is designed for students with at least one solid semester of abstract algebra,some linear algebra background, and no previous knowledge of module theory. Modulesand the Structure of Rings details the use of modules over a ring as a means of consideringthe structure of the ring itself--explaining the mathematics and "inductivereasoning" used in working on ring theory challenges and emphasizing modules insteadof rings.Stressing the inductive aspect of mathematical research underlying the formal deductivestyle of the literature, this volume offers vital background on current methods for solvinghard classification problems of algebraic structures. Written in an informal butcompletely rigorous style, Modules and the Structure of Rings clarifies sophisticatedproofs ... avoids the formalism of category theory ... aids independent study or seminarwork ... and supplies end-of-chapter problems.This book serves as an excellent primary.text for upper-level undergraduate and graduatestudents in one-semester courses on ring or module theory-laying a foundation formore advanced study of homological algebra or module theory.

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Golan,

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