4 citations · 6 across the 5 of their papers we have counts for
5 papers
Numerical Semigroups of Sally Type
Saipriya Dubey, Kriti Goel, Nil Sahin +2
Judith Sally proved in 1980 that the associated graded ring of one-dimensional Gorenstein local rings of multiplicity and embedding dimension are Cohen-Macaulay. She show…
On the monotonicity of the Hilbert functions for 4-generated pseudo-symmetric monomial curves
Nil Şahin
In this article we solve the conjecture "Hilbert function of the local ring for a 4 generated pseudo-symmetric numerical semigroup is always non-d…
On the Hilbert Series of the tangent cones for some 4-generated pseudo 2 symmetric monomial curves
Nil Şahin
In this article, we study Hilbert Series of non-Cohen-Maculay tangent cones for some 4-generated pseudo symmetric monomial curves. We show that the Hilbert Function is nondecreasin…
4-Generated Pseudo Symmetric Monomial Curves with not Cohen-Macaulay Tangent Cones
Nil Şahin
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…
Betti numbers for certain Cohen-Macaulay tangent cones
Mesut Şahin, Nil Şahin
In this article, we compute Betti numbers for a Cohen-Macaulay tangent cone of a monomial curve in the affine -space corresponding to a pseudo symmetric numerical semigroup. As…