Lectures on Injective Modules and Quotient Rings
Faith, Carl.
Lectures on Injective Modules and Quotient Rings [electronic resource] / by Carl Faith. - XVIII, 146 p. online resource. - Lecture Notes in Mathematics, 49 0075-8434 ; . - Lecture Notes in Mathematics, 49 .
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.
9783540355519
10.1007/BFb0074319 doi
Mathematics.
Mathematics, general.
QA1-939
510
Lectures on Injective Modules and Quotient Rings [electronic resource] / by Carl Faith. - XVIII, 146 p. online resource. - Lecture Notes in Mathematics, 49 0075-8434 ; . - Lecture Notes in Mathematics, 49 .
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.
9783540355519
10.1007/BFb0074319 doi
Mathematics.
Mathematics, general.
QA1-939
510