Unimodular Regularity, Stable Range, and Exchange Rings
DOI10.1080/00927870802068383zbMath1151.16002OpenAlexW2062959768MaRDI QIDQ3514775
Publication date: 23 July 2008
Published in: Communications in Algebra (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1080/00927870802068383
exchange ringsvon Neumann regular ringsstable range conditionscancellation propertiesunimodular regular elements
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) Stable range conditions (19B10)
Cites Work
- Krull-Schmidt and cancellation over local rings
- Stable range one for rings with many units
- Cancellation of modules and groups and stable range of endomorphism rings
- Algebras over zero-dimensional rings
- Separative cancellation for projective modules over exchange rings
- Stable range one for exchange rings
- Extensions of exchange rings
- Completion of diagrams by automorphisms and Bass' first stable range condition
- Exchange rings and decompositions of modules
- REGULAR RINGS WITH FINITE STABLE RANGE
- Power cancellation for artinian modules
- Strongly 𝜋-regular rings have stable range one
- On the stable range condition of exchange rings
- On stable range conditions
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