Generalizations of strongly hollow ideals and a corresponding topology

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dc.contributor.authorCeken, Secil
dc.contributor.authorYuksel, Cem
dc.date.accessioned2024-06-12T11:15:42Z
dc.date.available2024-06-12T11:15:42Z
dc.date.issued2021
dc.departmentTrakya Üniversitesien_US
dc.description.abstractIn this paper, we introduce and study the notions of M-strongly hollow and M-PS-hollow ideals where M is a module over a commutative ring R. These notions are generalizations of strongly hollow ideals. We investigate some properties and characterizations of M-strongly hollow (M-PS-hollow) ideals. Then we define and study a topology on the set of all M-PS-hollow ideals of a commutative ring R. We investigate when this topological space is irreducible, Noetherian, T-0, T-1 and spectral space.en_US
dc.identifier.doi10.3934/math.2021751
dc.identifier.endpage13003en_US
dc.identifier.issn2473-6988
dc.identifier.issue12en_US
dc.identifier.scopus2-s2.0-85115117598en_US
dc.identifier.scopusqualityQ2en_US
dc.identifier.startpage12986en_US
dc.identifier.urihttps://doi.org/10.3934/math.2021751
dc.identifier.urihttps://hdl.handle.net/20.500.14551/24042
dc.identifier.volume6en_US
dc.identifier.wosWOS:000697024500001en_US
dc.identifier.wosqualityQ1en_US
dc.indekslendigikaynakWeb of Scienceen_US
dc.indekslendigikaynakScopusen_US
dc.language.isoenen_US
dc.publisherAmer Inst Mathematical Sciences-Aimsen_US
dc.relation.ispartofAims Mathematicsen_US
dc.relation.publicationcategoryMakale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanıen_US
dc.rightsinfo:eu-repo/semantics/openAccessen_US
dc.subjectStrongly Hollow Submoduleen_US
dc.subjectPseudo Strongly Hollow Submoduleen_US
dc.subjectM-Strongly Hollow Idealen_US
dc.subjectPSH-Zariski Topologyen_US
dc.subjectFiniteness Conditionsen_US
dc.subjectModulesen_US
dc.titleGeneralizations of strongly hollow ideals and a corresponding topologyen_US
dc.typeArticleen_US

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