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Rings and Their Modules

Rings and Their Modules

Paperback

Series: de Gruyter Textbook

AlgebraGeneral Mathematics

Publisher Price: $80.00

ISBN10: 3110250225
ISBN13: 9783110250220
Publisher: De Gruyter
Published: Jan 28 2011
Pages: 465
Weight: 1.75
Height: 1.00 Width: 6.70 Depth: 9.40
Language: English

This book is an introduction to the theory of rings and modules that goes beyond what one normally obtains in a graduate course in abstract algebra. The theme of the text is the interplay between rings and modules. At times rings are investigated by considering given sets of conditions on the modules they admit and at other times rings of a certain type are considered to see what structure is forced on their modules. Standard topics in ring and module theory such as chain conditions on rings and modules, injective and projective modules and semisimple rings are included as well as subjects like category theory and homological algebra. The text also contains presentations on topics such as flat modules and coherent rings, injective envelopes, projective covers and perfect rings, reflexive modules and quasi-Frobenius rings, and graded rings and modules.

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Algebra