A Course in Ring Theory

A Course in Ring Theory

by Donald S. Passman
     
 

First published in 1991, this book contains the core material for an undergraduate first course in ring theory. Using the underlying theme of projective and injective modules, the author touches upon various aspects of commutative and noncommutative ring theory. In particular, a number of major results are highlighted and proved. Part I, Projective ModulesSee more details below

Overview

First published in 1991, this book contains the core material for an undergraduate first course in ring theory. Using the underlying theme of projective and injective modules, the author touches upon various aspects of commutative and noncommutative ring theory. In particular, a number of major results are highlighted and proved. Part I, Projective Modules

Product Details

ISBN-13:
9780821836804
Publisher:
American Mathematical Society
Publication date:
09/28/2004
Series:
AMS Chelsea Publishing Series, #348
Edition description:
New Edition
Pages:
306
Product dimensions:
7.20(w) x 10.20(h) x 0.90(d)

Related Subjects

Table of Contents

1Modules and homomorphisms3
2Projective modules13
3Completely reducible modules23
4Wedderburn rings33
5Artinian rings44
6Hereditary rings56
7Dedekind domains64
8Projective dimension74
9Tensor products84
10Local rings95
11Skew polynomial rings105
12Grothendieck groups115
13Graded rings and modules124
14Induced modules133
15Syzygy theorem142
16Patching theorem152
17Serre conjecture161
18Big projectives171
19Generic flatness180
20Nullstellensatz190
21Injective modules203
22Injective dimension213
23Essential extensions223
24Maximal ring of quotients233
25Classical ring of quotients242
26Goldie rings252
27Uniform dimension262
28Uniform injective modules273
29Reduced rank284

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