Modules and Rings

Modules and Rings

by John Dauns
     
 

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ISBN-10: 0521063485

ISBN-13: 9780521063487

Pub. Date: 05/29/2008

Publisher: Cambridge University Press

This book on modern module and non-commutative ring theory is ideal for beginning graduate students. It starts at the foundations of the subject and progresses rapidly through the basic concepts to help the reader reach current research frontiers. Students will have the chance to develop proofs, solve problems, and to find interesting questions. The first half of

Overview

This book on modern module and non-commutative ring theory is ideal for beginning graduate students. It starts at the foundations of the subject and progresses rapidly through the basic concepts to help the reader reach current research frontiers. Students will have the chance to develop proofs, solve problems, and to find interesting questions. 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. Enough background material (including detailed proofs) is supplied to give the student a firm grounding in the subject.

Product Details

ISBN-13:
9780521063487
Publisher:
Cambridge University Press
Publication date:
05/29/2008
Pages:
464
Product dimensions:
5.90(w) x 8.90(h) x 1.20(d)

Related Subjects

Table of Contents

1. Modules; 2. Free modules; 3. Injective modules; 4. Tensor products; 5. Certain important algebras; 6. Simple modules and primitive rings; 7. The Jacobson radical; 8. Subdirect product decompositions; 9. Primes and semiprimes; 10. Projective modules and more on Wedderburn theorems; 11. Direct sum decompositions; 12. Simple algebras; 13. Hereditary rings, free and projective modules; 14. Module constructions; 15. Categories and functors; 16. Module categories; 17. Flat modules; 18. Purity.

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