eBook - ePub
Groups, Rings, Modules
Maurice Auslander, David Buchsbaum
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- 480 pages
- English
- ePUB (mobile friendly)
- Available on iOS & Android
eBook - ePub
Groups, Rings, Modules
Maurice Auslander, David Buchsbaum
Book details
Table of contents
Citations
About This Book
This classic monograph is geared toward advanced undergraduates and graduate students. The treatment presupposes some familiarity with sets, groups, rings, and vector spaces.
The four-part approach begins with examinations of sets and maps, monoids and groups, categories, and rings. The second part explores unique factorization domains, general module theory, semisimple rings and modules, and Artinian rings. Part three's topics include localization and tensor products, principal ideal domains, and applications of fundamental theorem. The fourth and final part covers algebraic field extensions and Dedekind domains. Exercises are provided at the end of each chapter.
The four-part approach begins with examinations of sets and maps, monoids and groups, categories, and rings. The second part explores unique factorization domains, general module theory, semisimple rings and modules, and Artinian rings. Part three's topics include localization and tensor products, principal ideal domains, and applications of fundamental theorem. The fourth and final part covers algebraic field extensions and Dedekind domains. Exercises are provided at the end of each chapter.
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Information
Topic
MathematikSubtopic
Abstrakte AlgebraTable of contents
- Cover
- Title Page
- Copyright Page
- Contents
- Preface
- PART ONE
- PART TWO
- PART THREE
- PART FOUR
- Index