A first graduate course in abstract algebra

W.J. Wickless0824756274, 9780824756277, 9780824757182

Realizing the specific needs of first-year graduate students, this reference allows readers to grasp and master fundamental concepts in abstract algebra—establishing a clear understanding of basic linear algebra and number, group, and commutative ring theory and progressing to sophisticated discussions on Galois and Sylow theory, the structure of abelian groups, the Jordan canonical form, and linear transformations and their matrix representations.

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Table of contents :
Preface……Page 10
Contents……Page 12
Groups (mostly finite)……Page 16
Rings (mostly domains)……Page 64
Modules……Page 90
Vector spaces……Page 110
Fields and Galois theory……Page 158
Topics in Noncommutative Rings……Page 190
Group extensions……Page 206
Topics in abelian groups……Page 222
References……Page 244
Index……Page 245