Torsion-freeness and non-singularity over right p.p.-rings.

DOI10.1016/j.jalgebra.2004.10.020zbMath1088.16017OpenAlexW1989838281MaRDI QIDQ1770467

John Dauns, Ulrich F. Albrecht, László Fuchs

Publication date: 7 April 2005

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

Full work available at URL: https://doi.org/10.1016/j.jalgebra.2004.10.020

zbMATH Keywords

principal right idealsannihilatorsnon-singular modulesright p.p.-ringstorsion-free modulesright Utumi rings

Mathematics Subject Classification ID

Free, projective, and flat modules and ideals in associative algebras (16D40) Other classes of modules and ideals in associative algebras (16D80) Chain conditions on annihilators and summands: Goldie-type conditions (16P60)

Related Items

Finitely presented modules over right non-singular rings. ⋮ RD-projective module whose subprojectivity domain is minimal ⋮ On minimal absolutely pure domain of RD-flat modules ⋮ Right Utumi p.p.-rings. ⋮ Rings whose RD-flat modules have restricted subflat domains ⋮ Commutative group rings with von Neumann regular total rings of quotients. ⋮ Properties of Abelian Groups Determined by Their Endomorphism Ring ⋮ Strongly Non-Singular Rings and Morita Equivalence ⋮ Divisibility and duo-rings ⋮ COTILTING CLASSES OF TORSION-FREE MODULES ⋮ On subinjectivity domains of RD-injective modules

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• Endomorphism Rings of Modules over non-singular CS Rings
• TORSION-FREENESS FOR RINGS WITH ZERO-DIVISORS
• A Foundation of Torsion Theory for Modules Over General Rings