V-Rings versus Σ-V rings

DOI10.1142/S0219498819500324zbMath1444.16014arXiv1605.05009MaRDI QIDQ5377483

Zahra Nazemian, Ashish K. Srivastava, Bijan Davvaz

Publication date: 24 May 2019

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

Full work available at URL: https://arxiv.org/abs/1605.05009

zbMATH Keywords

exchange ringsvon Neumann regular rings\(V\)-rings\(\Sigma\)-\(V\) rings

Mathematics Subject Classification ID

Chain conditions, growth conditions, and other forms of finiteness for associative rings and algebras (16P99) Simple and semisimple modules, primitive rings and ideals in associative algebras (16D60) von Neumann regular rings and generalizations (associative algebraic aspects) (16E50) Chain conditions, finiteness conditions in commutative ring theory (13E99)

Cites Work

• Prime ideals in regular self-injective rings. II
• On hereditary rings and Boyle's conjecture
• Rings over which certain modules are injective
• Free ideal rings
• On rings whose simple modules are injective
• On Σ-VRings
• Von Neumann Regularity of V-Rings with Artinian Primitive Factor Rings
• Sur l'enveloppe injective des anneaux de groupes réguliers
• Hereditary QI-Rings
• Primitivity of prime countable-dimensional regular algebras
• Semihereditary rings
• Simple Rings with Uniform Right Ideals
• Homological properties of the ring of differential polynomials
• Some Applications of Differential Algebra to Ring Theory
• Prime von Neumann Regular Rings and Primitive Group Algebras
• Galois Theory of Differential Fields
• Modules with chain conditions up to isomorphism
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