On strongly pi-regular rings of stable range one

DOI10.1017/S0004972700014258zbMath0836.16005MaRDI QIDQ4848324

Hua-Ping Yu

Publication date: 16 April 1996

Published in: Bulletin of the Australian Mathematical Society (Search for Journal in Brave)

zbMATH Keywords

regular elementsstrongly \(\pi\)-regular ringsBass's first stable range condition

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) Conditions on elements (16U99) von Neumann regular rings and generalizations (associative algebraic aspects) (16E50) Chain conditions on other classes of submodules, ideals, subrings, etc.; coherence (associative rings and algebras) (16P70) Stable range conditions (19B10)

Related Items (5)

On Uniform Diagonalisation of Matrices over Regular Rings and One-Accessible Regular Algebras ⋮ Unnamed Item ⋮ Special clean elements in rings ⋮ Unnamed Item ⋮ ON A QUESTION OF HARTWIG AND LUH

Cites Work

• Bass's first stable range condition
• Stable range one for rings with many units
• On pi-regular rings whose primitive factor rings are Artinian

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