σ-cs-modules

DOI10.1080/00927879408824832zbMath0804.16001OpenAlexW2085682300MaRDI QIDQ4282873

Nguyen Viet Dung, Patrick F. Smith

Publication date: 12 April 1994

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

Full work available at URL: https://doi.org/10.1080/00927879408824832

zbMATH Keywords

CS-modulescomplement submodulesright non-singular ringsfree right modulescountably-generated free modules

Mathematics Subject Classification ID

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) General module theory in associative algebras (16D10)

Related Items (14)

Every \(\aleph_1\)-\(\Sigma\)-CS module is \(\Sigma\)-CS. ⋮ On the number of zeros in the columns of the character table of a group. ⋮ C2 property of column finite matrix rings. ⋮ On continuous rings ⋮ \(\Sigma\)-extending modules ⋮ On indecomposable decompositions of \(CS\)-modules. II ⋮ Every Σ-CS-module has an indecomposable decomposition ⋮ Rings whose pure-injective right modules are direct sums of lifting modules. ⋮ Artinian Rings Characterized by Direct Sums of CS Modules ⋮ Simple rings with injectivity conditions on one-sided ideals ⋮ WHEN SELF-INJECTIVE RINGS ARE QF: A REPORT ON A PROBLEM ⋮ Rings Whose CS Modules Are Countably Σ-CS ⋮ Some Results on Self-Injective Rings and Σ-CS Rings ⋮ Skew-injective modules

Cites Work

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• Cyclic modules whose quotients have all complement submodules direct summands
• Piecewise domains
• Endomorphism Rings of Modules over non-singular CS Rings
• On quasi-perfect rings
• RINGS IN WHICH EVERY COMPLEMENT RIGHT IDEAL IS A DIRECT SUMMAND

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