Introduction to Abstract Algebra / / Kaiming Zhao, Libin Li.
Abstract algebra is an essential tool in algebra, number theory, geometry, topology, and, to a lesser extent, analysis. It is therefore a core requirement for all mathematics majors. Outside of mathematics, abstract algebra also has many applications in cryptography, coding theory, quantum chemistry...
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Superior document: | Title is part of eBook package: De Gruyter DG Plus PP Package 2022 Part 2 |
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Place / Publishing House: | Les Ulis : : EDP Sciences, , [2022] ©2022 |
Year of Publication: | 2022 |
Language: | English |
Series: | Current Natural Sciences
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Physical Description: | 1 online resource (184 p.) |
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Table of Contents:
- Frontmatter
- Preface
- Contents
- Notations
- Chapter 1. Groups and Generating Sets
- Chapter 2. Permutation Groups and Alternating Groups
- Chapter 3. Finitely Generated Abelian Groups and Quotient Groups
- Chapter 4. Rings, Quotient Rings and Ideal Theory
- Chapter 5. Unique Factorization Domains
- Chapter 6. Extension Fields
- Appendix A. Equivalence Relations and Quotient Set
- Appendix B. Zorn's Lemma
- Appendix C. Quotient field
- Reference
- Index