On generalized stable rings
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Publication:4953299
DOI10.1080/00927870008826935zbMath0955.16006OpenAlexW2079591695MaRDI QIDQ4953299
Publication date: 26 November 2000
Published in: Communications in Algebra (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1080/00927870008826935
Structure and classification for modules, bimodules and ideals (except as in 16Gxx), direct sum decomposition and cancellation in associative algebras) (16D70) von Neumann regular rings and generalizations (associative algebraic aspects) (16E50) Stability for projective modules (19A13)
Related Items (12)
MORITA CONTEXTS WITH GENERALIZED STABLE CONDITIONS ⋮ Generalized Stable Exchange Rings ⋮ REGULAR RINGS WITH FINITE STABLE RANGE ⋮ Comparability and \(s\)-comparability of modules over exchange rings ⋮ On Generalized Stable Ideals ⋮ Generalized Stable Regular Rings ⋮ Generalized Ideal-Stable Regular Rings ⋮ Weakly Stable Modules ⋮ On simple factorization of invertible matrices ⋮ The comparable structure of exchange rings ⋮ Exchange rings having ideal-stable range one ⋮ Generalized Stable Rings and Regularity
Cites Work
- \(K_ 1\) of von Neumann regular rings
- Bass's first stable range condition
- On the structure of \(GL_ 2\) over stable range one rings
- Stable range one for rings with many units
- Products of idempotents in regular rings. II
- Cancellation of low-rank vector bundles
- Power-cancellation of groups and modules
- Perspectivity and cancellation in regular rings
- Separative cancellation for projective modules over exchange rings
- Stable range one for exchange rings
- Diagonalization of matrices over regular rings
- Completion of diagrams by automorphisms and Bass' first stable range condition
- Cancellation of projective modules over regular rings with comparability
- On a class of regular rings that are elementary divisor rings
- Strongly 𝜋-regular rings have stable range one
- Direct sum properties of quasi-injective modules
- Exchange rings, related comparability and power-substitution
- Related comparability over exchange rings
- Elements in one-sided unit regular rings
- Comparability, separativity, and exchange rings
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