Introduction to Ring Theory

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Springer Science & Business Media, Jun 8, 2001 - Mathematics - 229 pages
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Most parts of algebra have undergone great changes and advances in recent years, perhaps none more so than ring theory. In this volume, Paul Cohn provides a clear and structured introduction to the subject.
After a chapter on the definition of rings and modules there are brief accounts of Artinian rings, commutative Noetherian rings and ring constructions, such as the direct product. Tensor product and rings of fractions, followed by a description of free rings. The reader is assumed to have a basic understanding of set theory, group theory and vector spaces. Over two hundred carefully selected exercises are included, most with outline solutions.
 

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Contents

Basics
7
Linear Algebras and Artinian Rings
53
Noetherian Rings
103
Ring Constructions
135
General Rings
175
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