Some aspects of Artinian (Noetherian) part of a Goldie ring and its topological relevance.

zbMATH Open1199.16044MaRDI QIDQ1034379

K. C. Chowdhury

Publication date: 11 November 2009

Published in: Southeast Asian Bulletin of Mathematics (Search for Journal in Brave)

zbMATH Keywords

topological ringsquotient ringsannihilatorsArtinian ringsGoldie ringsNoetherian ringsNoetherian moduleschain conditionsideal topologiesGoldie-type conditionsright Artinian radical

Mathematics Subject Classification ID

Topological and ordered rings and modules (16W80) 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)

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Topological relevance of finitely descending (ascending) part of a Goldie near-ring.

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