Lectures on Injective Modules and Quotient Rings

By:

Carl Faith

Format:

Paperback / softback

Series:

Lecture Notes in Mathematics

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Description

Table of Contents

Injective modules.- Essential extensions and the injective hull.- Quasi-Injective modules.- Radical and semiprimitivity in rings.- The endomorphism ring of a quasi-injective module.- Noetherian, artinian, and semisimple modules and rings.- Rational extensions and lattices of closed submodules.- Maximal quotient rings.- Semiprime rings with maximum condition.- Nil and singular ideals under maximum conditions.- Structure of noetherian prime rings.- Maximal quotient rings.- Quotient rings and direct products of full linear rings.- Johnson rings.- Open problems.

Release date Australia

March 1st, 1968

Author

Carl Faith

Audience

Professional & Vocational

Illustrations

XVIII, 146 p.

Pages

146

Series

Lecture Notes in Mathematics

Dimensions

156x234x8

ISBN-13

9783540039204

Product ID

2817742

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