Embedding cyclic and torsion-free modules in free modules

DOI10.1007/BF01193990zbMath0552.16010OpenAlexW1988079104MaRDI QIDQ801003

José L. Gómez Pardo

Publication date: 1985

Published in: Archiv der Mathematik (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf01193990

zbMATH Keywords

finitely generated modulesembeddingcyclic modulesfree modulesannihilatorQF rings\({\mathcal F}\)-torsion-free injective moduleleft Gabriel topologyright CF ring

Mathematics Subject Classification ID

Quasi-Frobenius rings (16L60) Torsion theories; radicals on module categories (associative algebraic aspects) (16S90) Other classes of modules and ideals in associative algebras (16D80)

Related Items

Unnamed Item, The rings in which all super finitely presented modules are Gorenstein projective, New characterizations of pseudo-coherent rings, WHEN SELF-INJECTIVE RINGS ARE QF: A REPORT ON A PROBLEM, THE FGF CONJECTURE AND THE SINGULAR IDEAL OF A RING, On two open problems about embedding of modules in free modules^∗, Characterizations of coherent rings

Cites Work

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• Annihilator conditions in Noetherian rings
• A generalization of quasi-Frobenius rings
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• V-rings relative to gabriel topologies
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