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Ring Theory, 83
Student Edition
Louis H. Rowen
- 688 pages
- English
- ePUB (mobile friendly)
- Available on iOS & Android
Ring Theory, 83
Student Edition
Louis H. Rowen
About This Book
This is an abridged edition of the author's previous two-volume work, Ring Theory, which concentrates on essential material for a general ring theory course while ommitting much of the material intended for ring theory specialists. It has been praised by reviewers: **"As a textbook for graduate students, Ring Theory joins the best....The experts will find several attractive and pleasant features in Ring Theory. The most noteworthy is the inclusion, usually in supplements and appendices, of many useful constructions which are hard to locate outside of the original sources....The audience of nonexperts, mathematicians whose speciality is not ring theory, will find Ring Theory ideally suited to their needs....They, as well as students, will be well served by the many examples of rings and the glossary of major results."**--NOTICES OF THE AMS
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Table of contents
- Cover image
- Title page
- Table of Contents
- Copyright page
- Foreword to the Student Edition
- Errata from the Original Two-Volume Edition
- Introduction: An Overview of Ring Theory
- Table of Principal Notation
- 0: General Fundamentals
- 1: Constructions of Rings
- 2: Basic Structure Theory
- 3: Rings of Fractions and Embedding Theorems
- 4: Categorical Aspects of Module Theory
- 5: Homology and Cohomology
- 6: Rings with Polynomial Identities and Affine Algebras
- 7: Central Simple Algebras
- 8: Rings from Representation Theory
- Dimensions for Modules and Rings
- Major Ring- and Module-Theoretic Results Proved in Volume I (Theorems and Counterexamples; also cf. âCharacterizationsâ)
- Major Theorems and Counterexamples for Volume II
- The Basic Ring-Theoretic Notions and Their Characterizations
- References
- Index