On extensions of nilpotent torsion rings by semisimple rings

DOI10.1017/S0004972700007504zbMath0454.16006OpenAlexW2112943745MaRDI QIDQ3901620

I. A. Amin, F. A. Szasz

Publication date: 1981

Published in: Bulletin of the Australian Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1017/s0004972700007504

zbMATH Keywords

annihilatorright noetherian ringsJacobson semisimple ringminimum condition for principal idealsnilpotent torsion ringright noetherian P-ring

Mathematics Subject Classification ID

Structure and classification for modules, bimodules and ideals (except as in 16Gxx), direct sum decomposition and cancellation in associative algebras) (16D70) Nil and nilpotent radicals, sets, ideals, associative rings (16N40) Chain conditions on annihilators and summands: Goldie-type conditions (16P60) Artinian rings and modules (associative rings and algebras) (16P20) Noetherian rings and modules (associative rings and algebras) (16P40) Division rings and semisimple Artin rings (16Kxx)

Related Items (1)

Associative rings

Cites Work

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• Elements of noncommutative arithmetic. I
• Über ringe mit minimalbedingung für Hauptrechtsideale. II
• Über Ringe mit Minimalbedingung für Hauptrechtsideale. III
• Rings and modules of quotients

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