Algebra
This book is intended as a basic text for a one-year course in Algebra at the graduate level, or as a useful reference for mathematicians and professionals who use higher-level algebra. It successfully addresses the basic concepts of algebra. For the revised third edition, the author has added exerc...
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| Format: | eBook |
| Language: | English |
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New York, NY
Springer New York
2002, 2002
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| Edition: | 3rd ed. 2002 |
| Series: | Graduate Texts in Mathematics
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| Subjects: | |
| Online Access: | |
| Collection: | Springer Book Archives -2004 - Collection details see MPG.ReNa |
Table of Contents:
- One The Basic Objects of Algebra
- I Groups
- II Rings
- III Modules
- IV Polynomials
- Two Algebraic Equations
- V Algebraic Extensions
- VI Galois Theory
- VII Extensions of Rings
- VIII Transcendental Extensions
- IX Algebraic Spaces
- X Noetherian Rings and Modules
- XI Real Fields
- XII Absolute Values
- Three Linear Algebra and Representations
- XIII Matrices and Linear Maps
- XIV Representation of One Endomorphism
- XV Structure of Bilinear Forms
- XVI The Tensor Product
- XVII Semisimplicity
- XVIII Representations of Finite Groups
- XIX The Alternating Product
- Four Homological Algebra
- XX General Homology Theory
- XXI Finite Free Resolutions
- Appendix 2 Some Set Theory