Rings with stable range conditions

DOI10.1080/00927879808826365zbMath0914.16002OpenAlexW2061476290MaRDI QIDQ4216822

Huanyin Chen

Publication date: 15 April 1999

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

Full work available at URL: https://doi.org/10.1080/00927879808826365

zbMATH Keywords

direct sumsmatrix factorizationsstable range conditionspower-substitutioncancellation properties of modulessubstitution properties of modules

Mathematics Subject Classification ID

Grothendieck groups, (K)-theory, etc. (16E20) 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) Stable range conditions (19B10)

Related Items (10)

Power-substitution,exchange rings and unit II-regularity ⋮ Stable range conditions for abelian and duo rings ⋮ On products of three triangular matrices over associative rings ⋮ UNITS, IDEMPOTENTS, AND STABLE RANGE CONDITIONS ⋮ ON m-FOLD STABLE IDEALS ⋮ On Strongly Stable Rings ⋮ Stable range one on non-zero divisors ⋮ Onm-fold stable exchange rings ⋮ On stable range conditions ⋮ Exchange rings having ideal-stable range one

Cites Work

• Stable range one for rings with many units
• Power cancellation for artinian modules
• Gl₂of rings with many units
• Unnamed Item

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