O. Bhardwaj

activity

20212023

collaborators

5 papers

math.AC2023

Affine semigroups of maximal projective dimension-II

Om Prakash Bhardwaj, Indranath Sengupta

If the Krull dimension of the semigroup ring is greater than one, then affine semigroups of maximal projective dimension ( $MPD$ ) are not Cohen-Macaulay, but they may be Bu…

math.AC2022

Derivation module and the Hilbert-Kunz multiplicity of the co-ordinate ring of a projective monomial curve

Om Prakash Bhardwaj, Indranath Sengupta

Let $n_{0}, n_{1}, \dots, n_{p}$ be a sequence of positive integers such that $n_{0} < n_{1} < \dots < n_{p}$ and $gcd (n_{0}, n_{1}, \dots, n_{p}) = 1$ . Let $S = \langle (0,n_p), (n_0,n_p-…

math.AC2022

On the algebraic invariants of certain affine semigroup algebras

Om Prakash Bhardwaj, Indranath Sengupta

Let $a$ and $d$ be two linearly independent vectors in $N^{2}$ , over the field of rational numbers. For a positive integer $k \geq 2$ , consider the sequence $a, a+d, \ldots,…

math.AC2021

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…

math.AC2021

On Row-Factorization relations of certain numerical semigroups

Om Prakash Bhardwaj, Kriti Goel, Indranath Sengupta

Let $H$ 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…