AMS eBook CollectionsOne of the world's most respected mathematical collections, available in digital format for your library or institution

Advanced Modern Algebra: Third Edition, Part 1

About this Title

Joseph J. Rotman, University of Illinois at Urbana-Champaign, Urbana, IL

Publication: Graduate Studies in Mathematics
Publication Year: 2015; Volume 165
ISBNs: 978-1-4704-1554-9 (print); 978-1-4704-2731-3 (online)
DOI: https://doi.org/10.1090/gsm/165
MathSciNet review: MR3443588
MSC: Primary 00-01; Secondary 13-01, 16-01, 18-01, 20-01

View full volume as PDF

Read more about this volume

Table of Contents

Download chapters as PDF

Front/Back Matter

• View this volume's front and back matter

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