Lectures on injective modules and quotient rings

Bibliographic Information

Lectures on injective modules and quotient rings

Carl Faith

(Lecture notes in mathematics, 49)

Springer-Verlag, 1967

  • : softcover
  • : pbk.

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Note

pbk.: 24 cm

Bibliography: p. 132-137

Description and Table of Contents

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.

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