Weakly regular rings

DOI10.1080/00927879408825068zbMath0810.16011OpenAlexW2065476825MaRDI QIDQ4304181

Yufei Xiao, Victor P. Camillo

Publication date: 17 April 1995

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

Full work available at URL: https://doi.org/10.1080/00927879408825068

zbMATH Keywords

von Neumann regular ringssimple ringslocalizationsmaximal right quotient ringreduced weakly regular ringsMorita equivalentright Goldie dimensionstrongly regular ringright order\(s\)-conditionchain of semiprime idealsright fully idempotent ringsimple non-Ore domains

Mathematics Subject Classification ID

Simple and semisimple modules, primitive rings and ideals in associative algebras (16D60) Ore rings, multiplicative sets, Ore localization (16U20) 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 (13)

Unnamed Item ⋮ Weakly regular rings with ACC on annihilators and maximality of strongly prime ideals of weakly regular rings. ⋮ Some homological characterizations of semigroups and semirings. ⋮ On almost s-weakly regular rings ⋮ On simple GP - injective modules ⋮ Fully idempotent homomorphisms. ⋮ Regularity conditions and the simplicity of prime factor rings ⋮ Homomorphisms close to regular and their applications. ⋮ Characterizations of ordered semigroups by the properties of their fuzzy ideals ⋮ The minimal prime spectrum of rings with annihilator conditions. ⋮ On a Hereditary Radical Property Relating to the Reducedness ⋮ On simple singular gp - injective modules ⋮ On minimal strongly prime ideals

Cites Work

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• Advances in group rings
• A generalization of FPF rings
• A Connection Between Weak Regularity and the Simplicity of Prime Factor Rings
• The Kernel of a Block of a Group Algebra

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