Turkish Journal of Mathematics
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)
DOI
10.3906/mat-1910-92
Keywords
Hilbert function, tangent cone, monomial curve, numerical semigroup, standard bases
First Page
2174
Last Page
2184
Recommended Citation
ŞAHİN, N (2020). 4-generated pseudo symmetric monomial curves with not Cohen-Macaulay tangent cones. Turkish Journal of Mathematics 44 (6): 2174-2184. https://doi.org/10.3906/mat-1910-92
