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AuthorFaith, Carl. author
TitleLectures on Injective Modules and Quotient Rings [electronic resource] / by Carl Faith
ImprintBerlin, Heidelberg : Springer Berlin Heidelberg, 1967
Connect tohttp://dx.doi.org/10.1007/BFb0074319
Descript XVIII, 146 p. online resource

CONTENT

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


Mathematics Mathematics Mathematics general



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