New characterizations of pseudo-Frobenius rings and a generalization of the FGF conjecture

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dc.contributor.authorGuil Asensio, Pedro A.
dc.contributor.authorSahinkaya, Serap
dc.contributor.authorSrivastava, Ashish K.
dc.date.accessioned2025-10-29T11:30:57Z
dc.date.issued2016
dc.departmentFakülteler, Temel Bilimler Fakültesi, Matematik Bölümü
dc.description.abstractWe provide new characterizations of pseudo-Frobenius and quasi-Frobenius rings in terms of tight modules. In the process, we also provide fresh perspectives on FGF and CF conjectures. In particular, we propose new natural extensions of these conjectures which connect them with the classical theory of PF rings. Our techniques are mainly based on settheoretic counting arguments initiated by Osofsky. Several corollaries and examples to illustrate their applications are given.
dc.description.sponsorshipDGI [MTM2010-20940-C02-02]
dc.description.sponsorshipExcellence Research Groups Program of the Seneca Foundation of the Region of Murcia
dc.description.sponsorshipFEDER funds of the European Union
dc.description.sponsorshipThe first author has been partially supported by the DGI (MTM2010-20940-C02-02) and by the Excellence Research Groups Program of the Seneca Foundation of the Region of Murcia. Part of the sources of both institutions come from the FEDER funds of the European Union.
dc.identifier.doi10.1007/s11856-016-1351-4
dc.identifier.endpage148
dc.identifier.issn0021-2172
dc.identifier.issn1565-8511
dc.identifier.issue1
dc.identifier.orcid0000-0002-2084-6260
dc.identifier.orcid0000-0003-4109-1159
dc.identifier.orcid0000-0002-0154-9420
dc.identifier.scopus2-s2.0-84983598059
dc.identifier.scopusqualityQ2
dc.identifier.startpage121
dc.identifier.urihttps://doi.org/10.1007/s11856-016-1351-4
dc.identifier.urihttps://hdl.handle.net/20.500.14854/11818
dc.identifier.volume214
dc.identifier.wosWOS:000382130300005
dc.identifier.wosqualityQ2
dc.indekslendigikaynakWeb of Science
dc.indekslendigikaynakScopus
dc.language.isoen
dc.publisherHebrew Univ Magnes Press
dc.relation.ispartofIsrael Journal of Mathematics
dc.relation.publicationcategoryMakale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanı
dc.rightsinfo:eu-repo/semantics/closedAccess
dc.snmzKA_WOS_20251020
dc.subjectModules
dc.titleNew characterizations of pseudo-Frobenius rings and a generalization of the FGF conjecture
dc.typeArticle

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