On ideals of regular rings

DOI10.1007/S101140100140zbMath1023.16011OpenAlexW2019727073MaRDI QIDQ1862891

Huanyin Chen, Fu-an Li

Publication date: 25 August 2003

Published in: Acta Mathematica Sinica. English Series (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s101140100140

zbMATH Keywords

projective modulesvon Neumann regular ringsminimal idealscomparability axiomone-sided unit-regular ringsseparative ringsunit-regular ideals

Mathematics Subject Classification ID

Free, projective, and flat modules and ideals in associative algebras (16D40) Structure and classification for modules, bimodules and ideals (except as in 16Gxx), direct sum decomposition and cancellation in associative algebras) (16D70) Ideals in associative algebras (16D25) Units, groups of units (associative rings and algebras) (16U60) von Neumann regular rings and generalizations (associative algebraic aspects) (16E50) Stable range conditions (19B10)

Related Items (2)

Comparability, Stability, and Completions of Ideals ⋮ Ideal-comparability over regular rings.

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Lifting units in self-injective rings and an index theory for Rickart \(C^ *\)-algebras
• Separative cancellation for projective modules over exchange rings
• Stable range one for exchange rings
• Elements in exchange rings with related comparability
• Separativity of modules with finite exchange property
• Semiartinian \(V\)-rings and semiartinian von Neumann regular rings
• Units and One-Sided Units in Regular Rings
• Roth's Equivalence Problem in Unit Regular Rings
• Elements in one-sided unit regular rings
• Comparability of modules over regular rings

This page was built for publication: On ideals of regular rings