1 Ocak 2013 Dergi makalesi Açık Erişim

Arslan, Feza; Sipahi, Neslihan; Sahin, Nil

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    <subfield code="a">Monomial curve families supporting Rossi's conjecture</subfield>
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    <subfield code="a">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.</subfield>
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    <subfield code="u">Mimar Sinan Fine Arts Univ, Dept Math, TR-34380 Istanbul, Turkey</subfield>
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