6 papers
KW Semigroups -- Their Betti Numbers, Apéry Posets and Tangent Cones
Mario González-Sánchez, Hema Srinivasan
Let p<q be coprime integers. Kunz-Waldi semigroups are numerical semigroups containing p and q and contained in <p,q,r>, where 2r=p,q,p+q whichever is even. In this paper, we prove…
Structure and Symmetry of Sally Type Semigroup Rings
Srishti Singh, Hema Srinivasan
Consider a numerical semigroup minimally generated by a subset of the interval with multiplicity and width . Such numerical semigroups are called Sally type sem…
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…
Numerical Semigroups of Sally Type II
Kriti Goel, Nil Åahin, Srishti Singh +1
In this paper we study numerical semigroups of Sally type of multiplicity and embedding dimension . We construct the minimal resolutions for these semigroup rings wh…
Wilf Inequality is preserved under Gluing of Semigroups
Srishti Singh, Hema Srinivasan
Wilf Conjecture on numerical semigroups is an inequality connecting the Frobenius number, embedding dimension and the genus of the semigroup. The conjecture is still open in genera…
The Betti Numbers of Kunz-Waldi Semigroups
Mario González-Sánchez, Srishti Singh, Hema Srinivasan
Given two coprime numbers , KW semigroups contain and are contained in where whichever is even. These semigroups were first introd…