UNITS, IDEMPOTENTS, AND STABLE RANGE CONDITIONS

DOI10.1081/AGB-100001535zbMath0989.16007OpenAlexW1981655053MaRDI QIDQ2749051

Huanyin Chen

Publication date: 5 August 2002

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

Full work available at URL: https://doi.org/10.1081/agb-100001535

zbMATH Keywords

matrix ringsunit-regular elementsstable range conditionsunit 1-stable range

Mathematics Subject Classification ID

Endomorphism rings; matrix rings (16S50) Grothendieck groups, (K)-theory, etc. (16E20) Units, groups of units (associative rings and algebras) (16U60) von Neumann regular rings and generalizations (associative algebraic aspects) (16E50) Stable range conditions (19B10)

Related Items

Extensions of Unit1-Stable Range ⋮ DECOMPOSING LINEAR TRANSFORMATIONS ⋮ Extensions of Rings with Many Units ⋮ On Rings with the Goodearl–Menal Condition ⋮ DECOMPOSITIONS OF COUNTABLE LINEAR TRANSFORMATIONS ⋮ On Strongly Stable Rings ⋮ Stable range one on non-zero divisors ⋮ Extensions of GM-rings ⋮ n-Clean Rings and Weakly Unit Stable Range Rings ⋮ n-Clean Rings

Cites Work

• \(K_ 1\) of von Neumann regular rings
• Bass's first stable range condition
• Stable range one for rings with many units
• Power cancellation for artinian modules
• Rings with stable range conditions
• On stable range conditions