Ring Theory, 83: Student Edition

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Academic Press, Dec 2, 2012 - Mathematics - 688 pages
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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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Contents

Chapter 0 General Fundamentals
1
Chapter 1 Construction of Rings
21
Chapter 2 Basic Structure Theory
119
Chapter 3 Rings of Fractions and Embedding Theorems
271
Chapter 4 Categorical Aspects of Module Theory
357
Chapter 5 Homology and Cohomology
369
Chapter 6 Rings with Polynomial Identities and Affine Algebras
435
Chapter 7 Central Simple Algebras
497
Chapter 8 Rings from Representation Theory
519
Dimensions for Modules and Rings
583
Major Ring and ModuleTheoretic Results Proved in Volume I Theorems and Counterexamples also cf Characterizations
585
Major Theorems and Counterexamples for Volume II
593
The Basic RingTheoretic Notions and Their Characterizations
603
References
607
Index
615
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Department of Mathematics and Computer Science

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