3 papers
math.AC2025
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…
math.AC2023
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…
math.AC2018
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…