Gluing and Hilbert Functions of Monomial Curves

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dc.authorscopusid56235470300
dc.authorscopusid35789954400
dc.authorscopusid34880777100
dc.contributor.authorArslan,F.
dc.contributor.authorMete,P.
dc.contributor.authorŞAhin,M.
dc.date.accessioned2024-07-05T15:43:14Z
dc.date.available2024-07-05T15:43:14Z
dc.date.issued2009
dc.departmentAtılım Universityen_US
dc.department-tempArslan F., Department of Mathematics, Middle East Technical University, Ankara, 06531, Turkey, Department of Mathematics, Balikesir University, Balikesir, 10145, Turkey, Department of Mathematics, Atilim University, Ankara, 06836, Turkey; Mete P., Department of Mathematics, Middle East Technical University, Ankara, 06531, Turkey, Department of Mathematics, Balikesir University, Balikesir, 10145, Turkey, Department of Mathematics, Atilim University, Ankara, 06836, Turkey; ŞAhin M., Department of Mathematics, Middle East Technical University, Ankara, 06531, Turkey, Department of Mathematics, Balikesir University, Balikesir, 10145, Turkey, Department of Mathematics, Atilim University, Ankara, 06836, Turkeyen_US
dc.description.abstractIn this article, by using the technique of gluing semigroups, we give infinitely many families of 1-dimensional local rings with non-decreasing Hilbert functions. More significantly, these are local rings whose associated graded rings are not necessarily Cohen-Macaulay. In this sense, we give an effective technique for constructing large families of 1-dimensional Gorenstein local rings associated to monomial curves, which support Rossi's conjecture saying that every Gorenstein local ring has a non-decreasing Hilbert function. © 2008 American Mathematical Society.en_US
dc.identifier.citationcount23
dc.identifier.doi10.1090/S0002-9939-08-09785-2
dc.identifier.endpage2232en_US
dc.identifier.issn0002-9939
dc.identifier.issue7en_US
dc.identifier.scopus2-s2.0-77951062408
dc.identifier.startpage2225en_US
dc.identifier.urihttps://doi.org/10.1090/S0002-9939-08-09785-2
dc.identifier.urihttps://hdl.handle.net/20.500.14411/3592
dc.identifier.volume137en_US
dc.identifier.wosqualityQ2
dc.language.isoenen_US
dc.relation.ispartofProceedings of the American Mathematical Societyen_US
dc.relation.publicationcategoryMakale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanıen_US
dc.rightsinfo:eu-repo/semantics/openAccessen_US
dc.scopus.citedbyCount24
dc.subject[No Keyword Available]en_US
dc.titleGluing and Hilbert Functions of Monomial Curvesen_US
dc.typeArticleen_US
dspace.entity.typePublication

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