Advanced Modern Algebra: Third Edition, Part 1 (Graduate Studies in Mathematics) (Graduate Studies in Mathematics, 165)

Part One–this volume–can be used as a text for the first year of graduate algebra, says Rotman, but it and the forthcoming Part Two can also serve more advanced graduate students wishing to learn topics on their own. They comprise a reference as well, he says, containing many of the standard theorems and definitions that users of algebra need to know. Part One contains material for two courses. The first course covers classical formulas, classical number theory, commutative rings, groups, and Galois theory. The second course covers modules, Zorn’s lemma, advanced linear algebra, categories of modules, multilinear algebra, and more commutative algebra. Annotation (c)2016 Ringgold, Inc., Portland, OR (protoview.com)