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Modules and Rings - John Dauns

Modules and Rings

Hardcover

Published: 28th October 1994
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This book on modern module and non-commutative ring theory starts at the foundations of the subject and progresses rapidly through the basic concepts to help the reader reach current research frontiers. The first half of the book is concerned with free, projective, and injective modules, tensor algebras, simple modules and primitive rings, the Jacobson radical, and subdirect products. Later in the book, more advanced topics, such as hereditary rings, categories and functors, flat modules, and purity are introduced. These later chapters will also prove a useful reference for researchers in non-commutative ring theory.

"Dauns...is always intensely focused on the big picture; there is no chance that the reader will lose sight of what is important or where the stroy is going. He is equally meticulous about details; his explanations are finely crafted and complete...[the book] will be the salvation of many a graduate student preparing for qualifying exams." D.V. Feldman, Choice

Modules
Free modules
Injective modules
Tensor products
Certain important algebras
Simple modules and primitive rings
The Jacobson radical
Subdirect product decompositions
Primes and semiprimes
Projective modules and more on Wedderburn theorems
Direct sum decompositions
Simple algebras
Hereditary rings, free and projective modules
Module constructions
Categories and functors
Module categories
Flat modules
Purity
Table of Contents provided by Publisher. All Rights Reserved.

ISBN: 9780521462587
ISBN-10: 0521462584
Audience: Professional
Format: Hardcover
Language: English
Number Of Pages: 464
Published: 28th October 1994
Publisher: Cambridge University Press
Country of Publication: GB
Dimensions (cm): 22.8 x 15.2  x 3.0
Weight (kg): 0.85