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Arslan, Feza; Sipahi, Neslihan; Sahin, Nil
{ "@context": "https://schema.org/", "@id": 12177, "@type": "ScholarlyArticle", "creator": [ { "@type": "Person", "affiliation": "Mimar Sinan Fine Arts Univ, Dept Math, TR-34380 Istanbul, Turkey", "name": "Arslan, Feza" }, { "@type": "Person", "affiliation": "Middle E Tech Univ, Dept Math, TR-06531 Ankara, Turkey", "name": "Sipahi, Neslihan" }, { "@type": "Person", "affiliation": "Middle E Tech Univ, Dept Math, TR-06531 Ankara, Turkey", "name": "Sahin, Nil" } ], "datePublished": "2013-01-01", "description": "In this article, we give a constructive method to form infinitely many families of monomial curves in affine 4-space with corresponding Gorenstein local rings in embedding dimension 4 supporting Rossi's conjecture. Starting with any monomial curve in affine 2-space, we obtain large families of Gorenstein local rings with embedding dimension 4, having non-decreasing Hilbert functions, although their associated graded rings are not Cohen-Macaulay. (C) 2013 Elsevier B.V. All rights reserved.", "headline": "Monomial curve families supporting Rossi's conjecture", "identifier": 12177, "image": "https://aperta.ulakbim.gov.tr/static/img/logo/aperta_logo_with_icon.svg", "license": "http://www.opendefinition.org/licenses/cc-by", "name": "Monomial curve families supporting Rossi's conjecture", "url": "https://aperta.ulakbim.gov.tr/record/12177" }
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