On von Neumann regular rings. III

DOI10.1007/BF01659723zbMath0414.16006OpenAlexW2024047814MaRDI QIDQ599146

Roger Yue Chi Ming

Publication date: 1978

Published in: Monatshefte für Mathematik (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/177893

zbMATH Keywords

finitely generated left idealfinitely generated projective right idealfinitely generated semiprime idealleft q-ringleft qc-ringnilpotent subidealright p- injective A-module

Mathematics Subject Classification ID

Injective modules, self-injective associative rings (16D50) Free, projective, and flat modules and ideals in associative algebras (16D40) Structure and classification for modules, bimodules and ideals (except as in 16Gxx), direct sum decomposition and cancellation in associative algebras) (16D70) Chain conditions on annihilators and summands: Goldie-type conditions (16P60) von Neumann regular rings and generalizations (associative algebraic aspects) (16E50) Modules, bimodules and ideals in associative algebras (16Dxx)

Related Items

Certain rings whose simple singular modules are GP-injective., On regular rings and V-rings, On regular rings and self-injective rings, Unnamed Item, On V-rings and unit-regular rings, On quasi-injectivity and von Neumann regularity, Modules

Cites Work

• Rings in which every right ideal is quasi-injective
• Finitistic Dimension and a Homological Generalization of Semi-Primary Rings
• On Continuous Regular Rings and Semisimple Self Injective Rings
• Direct Products of Modules
• On von Neumann regular rings - II.
• On Continuous Rings and Self Injective Rings
• Rings All of Whose Cyclic Modules Are Quasi-Injective
• On Some Characteristic Properties of Quasi-Frobenius and Regular Rings