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Lectures on Injective Modules and Quotient Rings [electronic resource] / by Carl Faith.

By: Contributor(s): Material type: TextTextSeries: Lecture Notes in Mathematics ; 49Publisher: Berlin, Heidelberg : Springer Berlin Heidelberg : Imprint: Springer, 1967Description: XVIII, 146 p. online resourceContent type:
  • text
Media type:
  • computer
Carrier type:
  • online resource
ISBN:
  • 9783540355519
Subject(s): Additional physical formats: Printed edition:: No title; Printed edition:: No titleDDC classification:
  • 510 23
LOC classification:
  • QA1-939
Online resources:
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.
In: Springer eBooks
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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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