TORSION-FREENESS FOR RINGS WITH ZERO-DIVISORS

DOI10.1142/S0219498804000885zbMath1107.16003OpenAlexW2050033071MaRDI QIDQ4657679

John Dauns, László Fuchs

Publication date: 14 March 2005

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

Full work available at URL: https://doi.org/10.1142/s0219498804000885

zbMATH Keywords

principal right idealstensor productsflatnessannihilatorsBaer ringsnon-singular modulesright p.p.-ringstorsion-free modulesExt-functorsTor-functors

Mathematics Subject Classification ID

Free, projective, and flat modules and ideals in associative algebras (16D40) Homological functors on modules (Tor, Ext, etc.) in associative algebras (16E30) Other classes of modules and ideals in associative algebras (16D80) Ideals in associative algebras (16D25) Chain conditions on annihilators and summands: Goldie-type conditions (16P60)

Related Items (19)

A closer look at primal and pseudo-irreducible ideals with applications to rings of functions ⋮ Notes on Divisible and Torsionfree Modules ⋮ Finitely presented modules over right non-singular rings. ⋮ RD-projective module whose subprojectivity domain is minimal ⋮ ON MODULES OVER COMMUTATIVE RINGS ⋮ Injective and coherent endomorphism rings relative to some matrices ⋮ Rings whose RD-flat modules have restricted subflat domains ⋮ Properties of Modules and Rings Relative to Some Matrices ⋮ Properties of Abelian Groups Determined by Their Endomorphism Ring ⋮ Strongly Non-Singular Rings and Morita Equivalence ⋮ SOME RESULTS ON TORSIONFREE MODULES ⋮ On global \(\mathscr{C}\)-dimensions ⋮ Torsion-freeness and non-singularity over right p.p.-rings. ⋮ On Divisible and Torsionfree Modules ⋮ C(X): Something old and something new ⋮ Torsion-free, Divisible, and Mittag-Leffler Modules ⋮ COTILTING CLASSES OF TORSION-FREE MODULES ⋮ Rd-phantom and RD-Ext-phantom morphisms ⋮ On subinjectivity domains of RD-injective modules

Cites Work

• Unnamed Item
• Purity and algebraic compactness for modules
• Armendariz rings and gaussian rings
• A note on extensions of Baer and P. P. -rings
• THE SINGULAR IDEALS OF GROUP RINGS
• Quasi-Baer ring extensions and biregrular rings
• Semihereditary rings
• A Foundation of Torsion Theory for Modules Over General Rings

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