Duo, Bézout, and distributive rings of skew power series.

DOI10.5565/PUBLMAT_53209_01zbMath1176.16034OpenAlexW2064038918MaRDI QIDQ2271349

Michał Ziembowski, Ryszard Mazurek

Publication date: 7 August 2009

Published in: Publicacions Matemàtiques (Search for Journal in Brave)

Full work available at URL: https://projecteuclid.org/euclid.pm/1248095657

zbMATH Keywords

skew power series ringsright duo ringsright Bézout ringsright distributive 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) Chain conditions on other classes of submodules, ideals, subrings, etc.; coherence (associative rings and algebras) (16P70)

Related Items (6)

CLEANNESS OF SKEW GENERALIZED POWER SERIES RINGS ⋮ Triangulating dimension of skew generalized power series rings ⋮ McCoy property and nilpotent elements of skew generalized power series rings ⋮ Weak dimension and right distributivity of skew generalized power series rings. ⋮ Growth, entropy and commutativity of algebras satisfying prescribed relations. ⋮ Right Gaussian rings and skew power series rings.

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• On Bezout and distributive generalized power series rings.
• Coherence and weak global dimension of \(RX\) when \(R\) is von Neumann regular
• Armendariz rings
• Bezout and semihereditary power series rings.
• Ore extensions of Baer and p.p.-rings.
• Duo rings and Ore extensions.
• Onℵ- self-injectivity of strongly regular rings
• Reversible Rings
• On the Representation of Modules by Sheaves of Factor Modules

This page was built for publication: Duo, Bézout, and distributive rings of skew power series.