Rd-Subinjectivity domain of modules

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dc.contributor.authorMoradzadeh-Dehkordi, Ali
dc.contributor.authorAlagoz, Yusuf
dc.date.accessioned2024-09-18T20:55:40Z
dc.date.available2024-09-18T20:55:40Z
dc.date.issued2024
dc.departmentHatay Mustafa Kemal Üniversitesien_US
dc.description.abstractGiven modules M and A, M is said to be A-RD-subinjective if for every RD-extension B of A, every f is an element of Hom(A,M) extends to Hom(B,M). For a module M, the RD-subinjectivity domain of M is defined to be the collection of all modules A such that M is A-RD-subinjective. We investigate basic properties of RD-subinjectivity domains and provide characterizations for various types of rings and modules including p-injective modules, RD-coflat modules, von Neumann regular rings, RD-rings, Kothe rings, right Noetherian rings, and quasi-Frobenius rings in terms of RD-subinjectivity domains. Finally, we study the properties of RD-indigent modules and consider the structure of rings over which every (resp. simple) right module is RD-injective or RD-indigent.en_US
dc.description.sponsorshipIPM [1403160411]en_US
dc.description.sponsorshipThe research of the first author was in part supported by a grant from IPM (No. 1403160411). This research is partially carried out in the IPM-Isfahan Branch.en_US
dc.identifier.doi10.1007/s12215-024-01089-1
dc.identifier.issn0009-725X
dc.identifier.issn1973-4409
dc.identifier.scopus2-s2.0-85199293427en_US
dc.identifier.scopusqualityQ1en_US
dc.identifier.urihttps://doi.org/10.1007/s12215-024-01089-1
dc.identifier.urihttps://hdl.handle.net/20.500.12483/11987
dc.identifier.wosWOS:001275219700003en_US
dc.identifier.wosqualityN/Aen_US
dc.indekslendigikaynakWeb of Scienceen_US
dc.indekslendigikaynakScopusen_US
dc.language.isoenen_US
dc.publisherSpringer-Verlag Italia Srlen_US
dc.relation.ispartofRendiconti Del Circolo Matematico Di Palermoen_US
dc.relation.publicationcategoryMakale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanıen_US
dc.rightsinfo:eu-repo/semantics/closedAccessen_US
dc.subjectRD-injective moduleen_US
dc.subjectA-RD-subinjective moduleen_US
dc.subjectRD-subinjectivity domainen_US
dc.subjectRD-indigent moduleen_US
dc.subjectKothe ringen_US
dc.titleRd-Subinjectivity domain of modulesen_US
dc.typeArticleen_US

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