On V-rings and prime rings

DOI10.1016/0021-8693(80)90202-1zbMath0429.16018OpenAlexW2071854743MaRDI QIDQ1137627

Roger Yue Chi Ming

Publication date: 1980

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

Full work available at URL: https://doi.org/10.1016/0021-8693(80)90202-1

zbMATH Keywords

nilpotent elementvon Neumann regular ringsprime ringstrongly regular ringsprimitive ringsemi-simple Artinian ringsmaximal left subidealf-V-ringintersection of maximal left idealsleft continuous regular ringsleft V-ringleft V'- ringp-V-ringsimple unitary left module

Mathematics Subject Classification ID

Injective modules, self-injective associative rings (16D50) Prime and semiprime associative rings (16N60) Simple and semisimple modules, primitive rings and ideals in associative algebras (16D60) von Neumann regular rings and generalizations (associative algebraic aspects) (16E50) Division rings and semisimple Artin rings (16Kxx) Modules, bimodules and ideals in associative algebras (16Dxx)

Related Items (12)

Unnamed Item ⋮ On von Neumann regular rings, XIII ⋮ GeneralisedV-rings and torsion theories ⋮ On biregularity and regularity ⋮ On regular rings and self-injective rings ⋮ On V-rings and unit-regular rings ⋮ Relative injectivity and chain conditions ⋮ Central semicommutative rings. ⋮ Cotorsion modules and relative pure-injectivity ⋮ Modules ⋮ Generalized V-rings and von Neumann regular rings ⋮ On simple singular gp - injective modules

Cites Work

• Quotient rings of rings with zero singular ideal
• Rings in which every right ideal is quasi-injective
• On rings whose simple modules are injective
• On Continuous Regular Rings and Semisimple Self Injective Rings
• Direct Products of Modules
• Note on strongly regular rings and $P_1$-rings
• On von Neumann regular rings - II.
• On Continuous Rings and Self Injective Rings
• Semisimple Maximal Quotient Rings
• On (von Neumann) regular rings
• On Some Characteristic Properties of Quasi-Frobenius and Regular Rings
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item

This page was built for publication: On V-rings and prime rings