On Bezout and distributive generalized power series rings.

DOI10.1016/j.jalgebra.2006.07.030zbMath1107.16043OpenAlexW2026253464MaRDI QIDQ858712

Michał Ziembowski, Ryszard Mazurek

Publication date: 11 January 2007

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

Full work available at URL: https://doi.org/10.1016/j.jalgebra.2006.07.030

zbMATH Keywords

von Neumann regular ringsright chain ringsstrongly regular ringsgeneralized power series ringsright semihereditary ringsright distributive ringsright Bezout ringsweak dimensionorthogonally finite ringsright chain monoids

Mathematics Subject Classification ID

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 (11)

On semilocal, Bézout and distributive generalized power series rings ⋮ On classical rings of quotients of duo rings. ⋮ Weak dimension and right distributivity of skew generalized power series rings. ⋮ Goldie ranks of skew generalized power series rings ⋮ Growth, entropy and commutativity of algebras satisfying prescribed relations. ⋮ Principally Quasi-Baer skew Generalized Power Series modules ⋮ REGULARITY AND STRONG REGULARITY IN THE CONTEXT OF CERTAIN CLASSES OF RINGS ⋮ Right Gaussian rings and skew power series rings. ⋮ Duo, Bézout, and distributive rings of skew power series. ⋮ LEFT APP-RINGS OF SKEW GENERALIZED POWER SERIES ⋮ Distributive modules and Armendariz modules.

Cites Work

• Rings with flat right ideals and distributive rings
• Coherence and weak global dimension of \(RX\) when \(R\) is von Neumann regular
• Semisimple rings and von Neumann regular rings of generalized power series
• Bezout and semihereditary power series rings.
• On right chain semigroups.
• Modules Whose Lattice of Submodules is Distributive
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