10 papers · 2 filters
Projective Closure of Affine Monomial Curves II
Joydip Saha, Indranath Sengupta, Pranjal Srivastava
In this paper our aim is twofold. First, we introduce the notion of star gluing of numerical semigroups and show that arithmetically Cohen-Macaulay and Gorenstein properties of the…
The -number of Monomial Ideals
Kamalesh Saha, Indranath Sengupta
We generalize some results of -number for arbitrary monomial ideals by showing that the -number of an arbitrary monomial ideal is the same as the $\mathrm{v…
Affine semigroups of maximal projective dimension
Om Prakash Bhardwaj, Kriti Goel, Indranath Sengupta
We generalize the notion of symmetric semigroups, pseudo symmetric semigroups, and row factorization matrices for pseudo Frobenius elements of numerical semigroups to the case of s…
Colon structure of associated primes of monomial ideals
Ambhore Siddhi Balu, Indranath Sengupta
We find an explicit expression of the associated primes of monomial ideals as a colon by an element , using the unique irredundant irreducible decomposition whose irreducible co…
On Row-Factorization relations of certain numerical semigroups
Om Prakash Bhardwaj, Kriti Goel, Indranath Sengupta
Let be a numerical semigroup minimally generated by an almost arithmetic sequence. We give a description of a possible row-factorization $(\RF)$ matrix for each pseudo-Frobeniu…
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…