Quasiunit regularity and \(QB\)-rings.

DOI10.1007/s11253-012-0659-4zbMath1266.16008OpenAlexW1982338420MaRDI QIDQ1928463

Xiaoqing Sun, Shangping Wang, Xiaoqin Shen, Jiang-Hua Li

Publication date: 3 January 2013

Published in: Ukrainian Mathematical Journal (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11253-012-0659-4

zbMATH Keywords

exchange rings\(QB\)-ringspseudounit regular ringsquasiunit regular elementsquasiunit regular rings

Mathematics Subject Classification ID

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)

Cites Work

• Separative cancellation for projective modules over exchange rings
• An infinite analogue of rings with stable rank one
• Completion of diagrams by automorphisms and Bass' first stable range condition
• Power cancellation for artinian modules
• On ExchangeQB-Rings
• On Exchange QB_∞-Rings
• (n,t)-Quasi-Projective and Equivalences
• OnQB_∞-Rings