This completed downloadable of Advanced Modern Algebra Part 1 3rd Edition Joseph J. Rotman
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Product details:
- ISBN-10 : 1470415542
- ISBN-13 : 9781470415549
- Author: Joseph J. Rotman
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 ©2016 Ringgold, Inc., Portland, OR (protoview.com)
Table of contents:
Part A. Course I
Chapter A-1. Classical formulas
Chapter A-2. Classical number theory
Chapter A-3. Commutative rings
Chapter A-4. Groups
Chapter A-5. Galois theory
Chapter A-6. Appendix: Set theory
Chapter A-7. Appendix: Linear Algebra
Part B. Course II
Chapter B-1. Modules
Chapter B-2. Zorn’s lemma
Chapter B-3. Advanced linear algebra
Chapter B-4. Categories of modules
Chapter B-5. Multilinear algebra
Chapter B-6. Commutative algebra II
Chapter B-7. Appendix: Categorical limits
Chapter B-8. Appendix: Topological spaces
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