A note on weak regularity in general rings.

DOI10.1007/s13366-013-0162-6zbMath1310.16010OpenAlexW1985850113MaRDI QIDQ464794

Deolinda Isabel C. Mendes

Publication date: 30 October 2014

Published in: Beiträge zur Algebra und Geometrie (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s13366-013-0162-6

zbMATH Keywords

semiprime rings2-primal ringscompletely prime idealsreduced ringssemiprime idealsstrongly prime idealsweakly regular rings

Mathematics Subject Classification ID

Prime and semiprime associative rings (16N60) Ideals in associative algebras (16D25) Jacobson radical, quasimultiplication (16N20) von Neumann regular rings and generalizations (associative algebraic aspects) (16E50)

Cites Work

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• Regularity conditions and the simplicity of prime factor rings
• Weakly regular rings with ACC on annihilators and maximality of strongly prime ideals of weakly regular rings.
• On the von Neumann regularity of rings with regular prime factor rings
• A Connection Between Weak Regularity and the Simplicity of Prime Factor Rings
• Prime Ideals and Sheaf Representation of a Pseudo Symmetric Ring
• Weakly Regular Rings