Algebra
著者
書誌事項
Algebra
（Prindle, Weber, and Schmidt series in advanced mathematics）
PWS, c1994
- : acid-free paper
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注記
Includes bibliographical references (p. 552) and index
内容説明・目次
内容説明
The intent of this book is to introduce readers to algebra from a point of view that stresses examples and classification. Whenever possible, the main theorems are treated as tools that may be used to construct and analyze specific types of groups, rings, fields, modules, etc. Sample constructions and classifications are given in both text and exercises.
目次
- A little set theory
- Groups: basic definitions and examples
- G-sets and counting
- Normality and factor groups
- Sylow theory, solvability and classification
- Categories in group theory
- Rings and modules
- P.I.D.'s and field extensions
- Radicals, tensor products, exactness
- Linear algebra
- Galois theory
- Hereditary and semisimple rings.
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