On two open problems about embedding of modules in free modules∗

DOI10.1080/00927879908826423zbMath0921.16010OpenAlexW2019234056MaRDI QIDQ4238603

Manuel Saorín, Juan Rada

Publication date: 10 August 1999

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

Full work available at URL: http://www.saber.ula.ve/handle/123456789/22656

zbMATH Keywords

minimal left idealsvon Neumann regular ringssemilocal ringsquasi-Frobenius ringssemiperfect ringssemiregular ringsFGF problemleft CF ringsleft FGF rings

Mathematics Subject Classification ID

Free, projective, and flat modules and ideals in associative algebras (16D40) Quasi-Frobenius rings (16L60) Noncommutative local and semilocal rings, perfect rings (16L30) von Neumann regular rings and generalizations (associative algebraic aspects) (16E50)

Related Items (3)

On Artiness of Right CF Rings ⋮ Embeddings in free modules and Artinian rings ⋮ The rings in which all super finitely presented modules are Gorenstein projective

Cites Work

• Unnamed Item
• Embedding cyclic and torsion-free modules in free modules
• Rings whose cyclics are essentially embeddable in projective modules
• Injective and flat covers, envelopes and resolvents
• Modules whose quotients have finite Goldie dimension
• A generalization of quasi-Frobenius rings
• Semiregular Modules and Rings
• On Semiregular Rings whose Finitely Generated Modules Embed in Free Modules
• Essential embedding of cyclic modules in projectives

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