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

By: Faith, Carl [author.]Contributor(s): SpringerLink (Online service)Material type: TextTextSeries: Lecture Notes in Mathematics ; 49Publisher: Berlin, Heidelberg : Springer Berlin Heidelberg, 1967Description: XVIII, 146 p. online resourceContent type: text Media type: computer Carrier type: online resourceISBN: 9783540355519Subject(s): Mathematics | Mathematics | Mathematics, generalAdditional physical formats: Printed edition:: No titleDDC classification: 510 LOC classification: QA1-939Online resources: Click here to access online
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
Item type: E-BOOKS
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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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