Endomorphisms of Progenerators over Exchange QB-Rings

DOI10.1142/S1005386708000485zbMath1198.16013MaRDI QIDQ3527466

Huanyin Chen

Publication date: 29 September 2008

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

zbMATH Keywords

exchange rings\(QB\)-ringsendomorphisms of progenerators

Mathematics Subject Classification ID

Automorphisms and endomorphisms (16W20) 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) Stable range conditions (19B10)

Cites Work

• Finitely generated projective modules over exchange rings
• An infinite analogue of rings with stable rank one
• Extensions and pullbacks in QB-rings.
• Completion of diagrams by automorphisms and Bass' first stable range condition
• A CRASH COURSE ON STABLE RANGE, CANCELLATION, SUBSTITUTION AND EXCHANGE
• On ExchangeQB-Rings
• The exchange property for purely infinite simple rings
• OnQB_∞-Rings