4 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…
Cohen-Macaulay Binomial edge ideals in terms of blocks with whiskers
Kamalesh Saha, Indranath Sengupta
For a graph , Bolognini et al. have shown is strongly unmixed is Cohen-Macaulay is accessible, where denotes the binomial…
Cohen-Macaulay Weighted Oriented Edge Ideals and its Alexander Dual
Kamalesh Saha, Indranath Sengupta
The study of the edge ideal of a weighted oriented graph with underlying graph started in the context of Reed-Muller type codes. We generalize a Cohen-Macaul…
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.