Weakly regular rings with ACC on annihilators and maximality of strongly prime ideals of weakly regular rings.

DOI10.1016/j.jpaa.2005.10.018zbMath1109.16011OpenAlexW1992496669MaRDI QIDQ852915

Kyoung Hwan Kim, Nam Kyun Kim, Chan Yong Hong, Young Cheol Jeon, Yang Lee

Publication date: 15 November 2006

Published in: Journal of Pure and Applied Algebra (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jpaa.2005.10.018

zbMATH Keywords

annihilatorsascending chain conditionweak regularityreduced ringsweakly regular ringsACC on right annihilatorsbiregularitydirect sums of simple ringsmaximality of strongly prime ideals

Mathematics Subject Classification ID

Ideals in associative algebras (16D25) Chain conditions on annihilators and summands: Goldie-type conditions (16P60) von Neumann regular rings and generalizations (associative algebraic aspects) (16E50)

Related Items (4)

A note on weak regularity in general rings. ⋮ Rings with property (A) and their extensions. ⋮ On Rings Whose Strongly Prime Ideals Are Completely Prime ⋮ On a Hereditary Radical Property Relating to the Reducedness

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