Strong Separativity over Regular Rings

DOI10.1142/S100538671500036XzbMath1330.16002OpenAlexW2222090458MaRDI QIDQ2949734

Huanyin Chen

Publication date: 2 October 2015

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

Full work available at URL: https://doi.org/10.1142/s100538671500036x

zbMATH Keywords

finitely generated projective modulesannihilatorsunit-regular elementsregular idealsstrongly separative 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) Units, groups of units (associative rings and algebras) (16U60) von Neumann regular rings and generalizations (associative algebraic aspects) (16E50) Stability for projective modules (19A13) Stable range conditions (19B10)

Cites Work

• Rings of square stable range one
• Separative cancellation for projective modules over exchange rings
• Extensions of exchange rings
• Separativity of Regular Rings in Which 2 Is Invertible

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