SOCLE FINITENESS OF THE LOCAL COHOMOLOGY

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dc.contributor.authorTrlifaj, Jan
dc.contributor.authorKosan, M. Tamer
dc.date.accessioned2025-10-29T11:12:38Z
dc.date.issued2011
dc.departmentGebze Teknik Üniversitesi
dc.description.abstractLet R be a Gorenstein local ring and I an ideal of R. Denote by H(I, R) the assertion: The socle of the local cohomology module H-I(n)(R) is finitely generated for each n >= 0. We translate H(I, R) into a property of the minimal injective coresolution of R, and then use this translation to prove H(I, R) for all regular local rings R and all ideals I with level prime avoidance.
dc.description.sponsorshipTubitak
dc.description.sponsorship[GACR 201/06/0510]
dc.description.sponsorship[MSM 0021620839]
dc.description.sponsorshipResearch supported by GACR 201/06/0510, MSM 0021620839, and by Tubitak.
dc.identifier.doi10.1216/RMJ-2011-41-1-299
dc.identifier.endpage309
dc.identifier.issn0035-7596
dc.identifier.issn1945-3795
dc.identifier.issue1
dc.identifier.orcid0000-0001-5773-8661
dc.identifier.scopus2-s2.0-79953298645
dc.identifier.scopusqualityQ3
dc.identifier.startpage299
dc.identifier.urihttps://doi.org/10.1216/RMJ-2011-41-1-299
dc.identifier.urihttps://hdl.handle.net/20.500.14854/6365
dc.identifier.volume41
dc.identifier.wosWOS:000289016600017
dc.identifier.wosqualityQ4
dc.indekslendigikaynakWeb of Science
dc.indekslendigikaynakScopus
dc.language.isoen
dc.publisherRocky Mt Math Consortium
dc.relation.ispartofRocky Mountain Journal of Mathematics
dc.relation.publicationcategoryMakale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanı
dc.rightsinfo:eu-repo/semantics/openAccess
dc.snmzKA_WOS_20251020
dc.subjectLocal cohomology
dc.subjectGorenstein local ring
dc.subjectregular local ring
dc.subjectsocle
dc.titleSOCLE FINITENESS OF THE LOCAL COHOMOLOGY
dc.typeArticle

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