Cohomological dimension and top local cohomology modules

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dc.authoridTuğba Mahmutcepoğlu Yıldırım / 0000-0003-2735-2201en_US
dc.authorwosidTuğba Mahmutcepoğlu Yıldırım / JAC-3846-2023
dc.contributor.authorErdoğdu, Vahap
dc.contributor.authorYıldırım, Tuğba
dc.date.accessioned2020-08-30T20:07:03Zen_US
dc.date.available2020-08-30T20:07:03Zen_US
dc.date.issued2019
dc.departmentİstinye Üniversitesi, Mühendislik ve Doğa Bilimleri Fakültesi, Matematik Bölümüen_US
dc.descriptionWOS: 000493933600006en_US
dc.description.abstractLet R be a Noetherian ring, I an ideal of R and M an R-module. In this paper, we first determine a condition under which a given integer t is a lower bound for the cohomological dimension cd(I, M), and use this to conclude that non-catenary Noetherian domains contain prime ideals that are not set-theoretic complete intersection. We also show the existence of a descending chain of ideals with successive diminishing cohomological dimensions. We then resolve the Artinianness of top local cohomology modules over local unique factorization domains of Krull dimension at most three, and obtain several related results on the top local cohomology modules for much more general cases.en_US
dc.identifier.citationErdoğdu, V., & Yıldırım, T. (2019). Cohomological dimension and top local cohomology modules. Rocky Mountain Journal of Mathematics, 49(6), 1843-1855.en_US
dc.identifier.doi10.1216/RMJ-2019-49-6-1843en_US
dc.identifier.endpage1855en_US
dc.identifier.issn0035-7596en_US
dc.identifier.issn1945-3795en_US
dc.identifier.issue6en_US
dc.identifier.scopus2-s2.0-85076812524en_US
dc.identifier.scopusqualityQ2en_US
dc.identifier.startpage1843en_US
dc.identifier.urihttps://doi.org/10.1216/RMJ-2019-49-6-1843en_US
dc.identifier.urihttps://hdl.handle.net/20.500.12713/682en_US
dc.identifier.volume49en_US
dc.identifier.wosWOS:000493933600006en_US
dc.identifier.wosqualityQ4en_US
dc.indekslendigikaynakWeb of Scienceen_US
dc.indekslendigikaynakScopusen_US
dc.institutionauthorMahmutcepoğlu Yıldırım, Tuğbaen_US
dc.language.isoenen_US
dc.publisherRocky Mt Math Consortiumen_US
dc.relation.ispartofRocky Mountain Journal of Mathematicsen_US
dc.relation.publicationcategoryMakale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanıen_US
dc.rightsinfo:eu-repo/semantics/closedAccessen_US
dc.subjectTop Local Cohomology Modulesen_US
dc.subjectCohomological Dimensionsen_US
dc.subjectRadically Perfect Idealsen_US
dc.titleCohomological dimension and top local cohomology modulesen_US
dc.typeArticleen_US

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