REGULARITY AND STRONG REGULARITY IN THE CONTEXT OF CERTAIN CLASSES OF RINGS

DOI10.1142/S0219498812502052zbMath1273.16029MaRDI QIDQ4923177

Michał Ziembowski

Publication date: 5 June 2013

Published in: Journal of Algebra and Its Applications (Search for Journal in Brave)

zbMATH Keywords

von Neumann regular ringsstrongly regular ringsArmendariz ringsright Bézout ringsright distributive ringsquasi-morphic ringsweak dimensionGaussian rings

Mathematics Subject Classification ID

Ordinary and skew polynomial rings and semigroup rings (16S36) Generalizations of commutativity (associative rings and algebras) (16U80) Homological dimension in associative algebras (16E10) von Neumann regular rings and generalizations (associative algebraic aspects) (16E50)

Related Items (1)

Growth, entropy and commutativity of algebras satisfying prescribed relations.

Cites Work

• Unnamed Item
• Right Gaussian rings and skew power series rings.
• Regularity and morphic property of rings.
• On Bezout and distributive generalized power series rings.
• Gaussian properties of total rings of quotients
• Armendariz rings
• Bezout and semihereditary power series rings.
• On a Hereditary Radical Property Relating to the Reducedness
• LEFT QUASI-MORPHIC RINGS
• Armendariz rings and gaussian rings
• A note on extensions of Baer and P. P. -rings
• Modules Whose Lattice of Submodules is Distributive
• Gaussian polynomials and invertibility
• The weak dimensions of Gaussian rings

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