Bezout and semihereditary power series rings.

DOI10.1016/S0021-8693(03)00418-6zbMath1042.16034OpenAlexW2085202028MaRDI QIDQ1419005

Herbera, Dolors

Publication date: 14 January 2004

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

Full work available at URL: https://doi.org/10.1016/s0021-8693(03)00418-6

zbMATH Keywords

idempotentslattices of idealsvon Neumann regular ringspower series ringsBezout ringsdirectly finite rings\(\aleph_0\)-injective rings

Mathematics Subject Classification ID

Injective modules, self-injective associative rings (16D50) Valuations, completions, formal power series and related constructions (associative rings and algebras) (16W60) Ideals in associative algebras (16D25) von Neumann regular rings and generalizations (associative algebraic aspects) (16E50)

Related Items (8)

On Bezout and distributive generalized power series rings. ⋮ Factorization of elements in noncommutative rings, II ⋮ On semilocal, Bézout and distributive generalized power series rings ⋮ Weak dimension and right distributivity of skew generalized power series rings. ⋮ QUASI-MORPHIC RINGS ⋮ REGULARITY AND STRONG REGULARITY IN THE CONTEXT OF CERTAIN CLASSES OF RINGS ⋮ Duo, Bézout, and distributive rings of skew power series. ⋮ Regularity and morphic property of rings.

Cites Work

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• Homomorphisms of C* algebras to finite AW* algebras
• Anneaux de groupe hereditaires et semi-hereditaires
• Coherence and weak global dimension of \(RX\) when \(R\) is von Neumann regular
• Modules with decompositions that complement direct summands
• On semihereditary rings
• Onℵ- self-injectivity of strongly regular rings
• On strongly bounded rings and duo rings

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