**Graduate Studies in Mathematics**

Volume: 165;
2017;
Hardcover

MSC: Primary 12; 13; 14; 15; 16; 18; 20;
**Print ISBN: 978-1-4704-4174-6
Product Code: GSM/165/180**

List Price: $174.00

Individual Member Price: $139.20

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# Advanced Modern Algebra: Third Edition, Parts 1 and 2

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*Joseph J. Rotman*

This new edition, now in two parts, has been significantly
reorganized and many sections have been rewritten. The first part,
designed for a first year of graduate algebra, consists of two
courses: Galois theory and Module theory. Topics covered in the first
course are classical formulas for solutions of cubic and quartic
equations, classical number theory, commutative algebra, groups, and
Galois theory. Topics in the second course are Zorn's lemma, canonical
forms, inner product spaces, categories and limits, tensor products,
projective, injective, and flat modules, multilinear algebra, affine
varieties, and Gröbner bases.

The second part presents many topics mentioned in the first part in
greater depth and in more detail. The five chapters of the book are
devoted to group theory, representation theory, homological algebra,
categories, and commutative algebra, respectively. The book can be
used as a text for a second abstract algebra graduate course, as a
source of additional material to a first abstract algebra graduate
course, or for self-study.

#### Readership

Graduate students and researchers interested in learning and teaching algebra.