Comparability, Stability, and Completions of Ideals

DOI10.1081/AGB-120037403zbMath1074.16007OpenAlexW2014287725MaRDI QIDQ3158233

Dancheng Lu, Tong Wenting, Qisheng Li

Publication date: 21 January 2005

Published in: Communications in Algebra (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1081/agb-120037403

zbMATH Keywords

von Neumann regular ringsstable range onedirectly finite ringscomparability conditionspseudo-rank functionsstably finite rings\(N^*\)-completeness1-comparability

Mathematics Subject Classification ID

Free, projective, and flat modules and ideals in associative algebras (16D40) Grothendieck groups, (K)-theory, etc. (16E20) Structure and classification for modules, bimodules and ideals (except as in 16Gxx), direct sum decomposition and cancellation in associative algebras) (16D70) Other classes of modules and ideals in associative algebras (16D80) Ideals in associative algebras (16D25) von Neumann regular rings and generalizations (associative algebraic aspects) (16E50) Stable range conditions (19B10)

Related Items

On Generalized Stable Ideals ⋮ Exchange rings in which all regular elements are one-sided unit-regular ⋮ On simple factorization of invertible matrices

Cites Work

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• Comparability, separativity, and exchange rings