Carl Faith

Lectures on Injective Modules and Quotient Rings

• Broschiertes Buch

Produktbeschreibung

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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Produktdetails

• Lecture Notes in Mathematics 49
• Verlag: Springer / Springer Berlin Heidelberg / Springer, Berlin
• Artikelnr. des Verlages: 978-3-540-03920-4
• 1968.
• Seitenzahl: 160
• Erscheinungstermin: 1. März 1968
• Englisch
• Abmessung: 235mm x 155mm x 9mm
• Gewicht: 276g
• ISBN-13: 9783540039204
• ISBN-10: 3540039201
• Artikelnr.: 23320216

Inhaltsangabe

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.