THE FGF CONJECTURE AND THE SINGULAR IDEAL OF A RING

DOI10.1142/S0219498813500254zbMath1302.16001OpenAlexW2168419692WikidataQ123201048 ScholiaQ123201048MaRDI QIDQ2853961

Pedro A. Guil Asensio, José Gómez-Torrecillas

Publication date: 17 October 2013

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

Full work available at URL: https://doi.org/10.1142/s0219498813500254

zbMATH Keywords

projective modulesfree modulesvon Neumann regular ringsfinitely generated right modulesquasi-Frobenius ringsQF ringsFGF conjectureCF rings

Mathematics Subject Classification ID

Injective modules, self-injective associative rings (16D50) 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) Quasi-Frobenius rings (16L60) von Neumann regular rings and generalizations (associative algebraic aspects) (16E50) Chain conditions on other classes of submodules, ideals, subrings, etc.; coherence (associative rings and algebras) (16P70)

Related Items

New characterizations of pseudo-Frobenius rings and a generalization of the FGF conjecture, The rings in which all super finitely presented modules are Gorenstein projective

Cites Work

• Embedding torsionless modules in projectives
• Embedding cyclic and torsion-free modules in free modules
• Rings whose cyclics are essentially embeddable in projective modules
• A generalization of quasi-Frobenius rings
• Torsion-Free and Divisible Modules Over Non-Integral-Domains
• Essential embedding of cyclic modules in projectives
• WHEN SELF-INJECTIVE RINGS ARE QF: A REPORT ON A PROBLEM