9 papers · 1 filter
On the Associated Graded ring of Semigroup Algebras
Joydip Saha, Indranath Sengupta, Pranjal Srivastava
In this paper, we give the necessary and sufficient conditions for the Cohen-Macaulayness of the associated graded ring of a simplicial affine semigroups using Gröbner basis. We ge…
Unboundedness of the first and the last Betti numbers of Numerical Semigroups Generated by Concatenation
Ranjana Mehta, Joydip Saha, Indranath Sengupta
We show that the minimal number of generators and the Cohen-Macaulay type of a family of numerical semigroups generated by concatenation of arithmetic sequences is unbounded.
ASL structures of some quadrics
Joydip Saha, Indranath Sengupta
Let be a field and , denote matrices such that, the entries of are either indeterminates over or and the entries of are indeterminates over which are…
Numerical Semigroups with unique Apéry expansions
Sudip Pandit, Joydip Saha, Indranath Sengupta
In this paper, we carry out a fairly comprehensive study of two special classes of numerical semigroups, one generated by the sequence of partial sums of an arithmetic progression…
Derivation modules for Sum and Gluing
Joydip Saha, Indranath Sengupta
In this paper we explicitly compute the derivation module of quotients of polynomial rings by ideals formed by the sum or by some other gluing technique. We discuss cases of monomi…
Moh's example of algebroid space curves
Ranjana Mehta, Joydip Saha, Indranath Sengupta
In this paper we revisit the family of algebroid space curves defined by Moh and find an explicit minimal generating set for the defining ideal.