Joydip Saha

activity

20182022

collaborators

9 papers

math.AC2022

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.

math.AC2021

ASL structures of some quadrics

Joydip Saha, Indranath Sengupta

Let $K$ be a field and $X$ , $Y$ denote matrices such that, the entries of $X$ are either indeterminates over $K$ or $0$ and the entries of $Y$ are indeterminates over $K$ which are…

math.AC2021

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…

math.NT2019

A Conjectural Inequality for Visible Points in Lattice Parallelograms

Gabriel Khan, Mizan R. Khan, Joydip Saha +1

Let $a, n \in Z^{+}$ , with $a < n$ and $g cd (a, n) = 1$ . Let $P_{a, n}$ denote the lattice parallelogram spanned by $(1, 0)$ and $(a, n)$ , that is, $$P_{a,n} = \left\{ t_1(1,0)+ t_2(…

math.AC2019

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…

math.AC2018

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.