Structure of Rings

Front Cover
American Mathematical Soc., 1964 - Mathematics - 299 pages
The main purpose of this volume is to give an account of the important developments in the theory of (non-commutative) rings. These are: the structure theory of rings without finiteness assumptions, cohomology of algebras, and structure and representation theory of non-semi-simple rings (Frobenius algebras, quasi-Frobenius rings).
 

Contents

Cover
Title page
Contents
Preface to the second edition
Preface
The radical and semisimplicity
Irreducible modules and primitive rings
Rings with minimum condition
Division rings
Nil ideals and prime ideals
Structure spaces
Applications
Appendices
Bibliography
Additional bibliography
Index

Primitive rings having minimal onesided ideals
Kronecker products
Completely reducible modules Galois theory for the ring of linear transformations
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