Noetherian Rings Whose Factor Rings are Orders in Artinian Rings

DOI10.1112/jlms/s2-34.1.12zbMath0603.16004OpenAlexW1964396622MaRDI QIDQ3739297

Charudatta R. Hajarnavis, Efraim P. Armendariz

Publication date: 1986

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

Full work available at URL: https://doi.org/10.1112/jlms/s2-34.1.12

zbMATH Keywords

direct sumArtinian quotient ringsemi-prime ringleft and right Noetherian P.I. ringNoetherian fully bounded q-Artinian ring

Mathematics Subject Classification ID

Prime and semiprime associative rings (16N60) Structure and classification for modules, bimodules and ideals (except as in 16Gxx), direct sum decomposition and cancellation in associative algebras) (16D70) Artinian rings and modules (associative rings and algebras) (16P20) Noetherian rings and modules (associative rings and algebras) (16P40) Localization and associative Noetherian rings (16P50) Rings with polynomial identity (16Rxx)