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Arslan, Feza; Sipahi, Neslihan; Sahin, Nil
<?xml version='1.0' encoding='utf-8'?> <oai_dc:dc xmlns:dc="http://purl.org/dc/elements/1.1/" xmlns:oai_dc="http://www.openarchives.org/OAI/2.0/oai_dc/" xmlns:xsi="http://www.w3.org/2001/XMLSchema-instance" xsi:schemaLocation="http://www.openarchives.org/OAI/2.0/oai_dc/ http://www.openarchives.org/OAI/2.0/oai_dc.xsd"> <dc:creator>Arslan, Feza</dc:creator> <dc:creator>Sipahi, Neslihan</dc:creator> <dc:creator>Sahin, Nil</dc:creator> <dc:date>2013-01-01</dc:date> <dc: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.</dc:description> <dc:identifier>https://aperta.ulakbim.gov.trrecord/12177</dc:identifier> <dc:identifier>oai:zenodo.org:12177</dc:identifier> <dc:rights>info:eu-repo/semantics/openAccess</dc:rights> <dc:rights>http://www.opendefinition.org/licenses/cc-by</dc:rights> <dc:source>JOURNAL OF SYMBOLIC COMPUTATION 55 10-18</dc:source> <dc:title>Monomial curve families supporting Rossi's conjecture</dc:title> <dc:type>info:eu-repo/semantics/article</dc:type> <dc:type>publication-article</dc:type> </oai_dc:dc>
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