Generalized Stable Regular Rings

DOI10.1081/AGB-120023138zbMath1050.16005OpenAlexW1983915939MaRDI QIDQ4428222

Huanyin Chen

Publication date: 14 September 2003

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

Full work available at URL: https://doi.org/10.1081/agb-120023138

zbMATH Keywords

idempotentsinvertible matricesvon Neumann regular ringspseudo-similaritystable range conditionsgeneralized stable rings

Mathematics Subject Classification ID

Endomorphism rings; matrix rings (16S50) von Neumann regular rings and generalizations (associative algebraic aspects) (16E50) Stable range conditions (19B10)

Related Items (5)

Generalized Stable Exchange Rings ⋮ Diagonal reductions of matrices over exchange ideals ⋮ On Generalized Stable Ideals ⋮ On simple factorization of invertible matrices ⋮ Generalized Stable Rings and Regularity

Cites Work

• \(K_ 1\) of von Neumann regular rings
• Pseudosimilarity and cancellation of modules
• Separative cancellation for projective modules over exchange rings
• Diagonalization of matrices over regular rings
• An infinite analogue of rings with stable rank one
• Generalized stable exchange rings
• 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
• Elements in one-sided unit regular rings
• Comparability of modules over regular rings
• On ExchangeQB-Rings
• On generalized stable rings

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