On the support of general local cohomology modules and filter regular sequences

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dc.contributor.authorAbdioğlu, Cihad
dc.contributor.authorKhashyarmanesh, Kazem
dc.contributor.authorKoşan, M. Tamer
dc.date.accessioned2025-01-12T17:20:16Z
dc.date.available2025-01-12T17:20:16Z
dc.date.issued2011
dc.departmentKMÜ, Eğitim Fakültesi, Matematik ve Fen Bilimleri Eğitimi Bölümü
dc.description.abstractLet R be a commutative Noetherian ring with non-zero identity and a an ideal of R. In the present paper, we examine the question whether the support of H-a(n)(N, M) must be closed in Zariski topology, where H-a(n)(N, M) is the nth general local cohomology module of finitely generated R-modules M and N with respect to the ideal a.
dc.description.sponsorshipTUBITAK (Turkey)
dc.description.sponsorshipThe second author was partially supported by a grant from TUBITAK (Turkey).Part of the paper was carried out when the second author was visiting Gebze Institute of Technology. He gratefully acknowledges the support of TUBITAK (Turkey) and the kind hospitality of the host university. The authors are thankful to the referee for a careful reading of the paper and for some helpful comments and suggestions.
dc.identifier.citationCihad Abdioĝlu, Kazem Khashyarmanesh & M. Tamer Koşan (2011). On the support of general local cohomology modules and filter regular sequences. Quaestiones Mathematicae, 34:4, 479-487, DOI: 10.2989/16073606.2011.640745
dc.identifier.doi10.2989/16073606.2011.640745
dc.identifier.endpage487
dc.identifier.issn1607-3606
dc.identifier.issue4
dc.identifier.scopus2-s2.0-84855475598
dc.identifier.scopusqualityQ2
dc.identifier.startpage479
dc.identifier.urihttps://doi.org/10.2989/16073606.2011.640745
dc.identifier.urihttps://hdl.handle.net/11492/10363
dc.identifier.volume34
dc.identifier.wosWOS:000299429400007
dc.identifier.wosqualityQ4
dc.indekslendigikaynakWeb of Sceince
dc.indekslendigikaynakScopus
dc.institutionauthorAbdioğlu, Cihad
dc.institutionauthoridAbdioğlu, Cihad/0000-0002-7874-2392
dc.language.isoen
dc.publisherNatl Inquiry Services Centre Pty Ltd
dc.relation.ispartofQuaestiones Mathematicae
dc.relation.publicationcategoryMakale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanı
dc.rightsinfo:eu-repo/semantics/closedAccess
dc.subjectLocal cohomology module
dc.subjectGeneralized local cohomology module
dc.subjectSupport of local cohomology module
dc.subjectFilter regular sequence
dc.subjectMatlis duality functor
dc.titleOn the support of general local cohomology modules and filter regular sequences
dc.typeArticle

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