Extensions of Unit1-Stable Range

DOI10.1081/AGB-120039279zbMath1068.16009OpenAlexW2014900658MaRDI QIDQ3158295

Huanyin Chen

Publication date: 24 January 2005

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

Full work available at URL: https://doi.org/10.1081/agb-120039279

zbMATH Keywords

unitsstable range conditionsunit 1-stable rangevon Neumann regular ideals

Mathematics Subject Classification ID

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 (3)

A Note on Regularity Properties with Respect to Ideals ⋮ On products of three triangular matrices over associative rings ⋮ Elements in RegularQB-Rings

Cites Work

• \(K_ 1\) of von Neumann regular rings
• Lifting units in self-injective rings and an index theory for Rickart \(C^ *\)-algebras
• Stable range one for rings with many units
• Exchange rings with Artinian primitive factors
• Exchange rings having ideal-stable range one
• Two classes of rings generated by their units
• UNITS, IDEMPOTENTS, AND STABLE RANGE CONDITIONS
• EXCHANGE RINGS SATISFYING UNIT 1-STABLE RANGE
• On semicommutative II-regular rings
• Extensions of Rings with Many Units

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