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Turkish Journal of Mathematics

Authors

NİL ŞAHİN

DOI

10.3906/mat-1910-92

Abstract

In this article, standard bases of some toric ideals associated to 4-generated pseudo symmetric semigroups with not Cohen-Macaulay tangent cones at the origin are computed. As the tangent cones are not Cohen-Macaulay, nondecreasingness of the Hilbert function of the local ring was not guaranteed. Therefore, using these standard bases, Hilbert functions are explicitly computed as a step towards the characterization of Hilbert function. In addition, when the smallest integer satisfying $k(\alpha_2+1)

First Page

2174

Last Page

2184

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Mathematics Commons

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