Exercises in Modules and Rings (Problem Books in Mathematics)

✍ Scribed by T.Y. Lam

• Year: 2006
• Tongue: English
• Leaves: 427
• Edition: 1
• Category: Library

✦ Synopsis

This volume offers a compendium of exercises of varying degree of difficulty in the theory of modules and rings. It is the companion volume to GTM 189. All exercises are solved in full detail. Each section begins with an introduction giving the general background and the theoretical basis for the problems that follow.

✦ Table of Contents

0387988505......Page 1
Problem Books in Mathematics......Page 2
Exercises in Modules
and Rings......Page 4
1 Free Modules, Projective, and Injective Modules......Page 18
2 Flat Modules and Homological Dimensions......Page 113
3 More Theory of Modules......Page 171
4 Rings of Quotients......Page 233
5 More Rings of Quotients......Page 286
6 Frobenius and Quasi-Frobenius Rings......Page 314
7 Matrix Rings, Categories of Modules and Morita Theory......Page 358
Name Index......Page 418