Zobrazeno 1 - 10
of 83
pro vyhledávání: '"Srivastava, Pranjal"'
This paper investigates the projective closure of simplicial affine semigroups in $\mathbb{N}^{d}$, $d \geq 2$. We present a characterization of the Cohen-Macaulay property for the projective closure of these semigroups using Gr\"{o}bner bases. Addit
Externí odkaz:
http://arxiv.org/abs/2405.11319
Autor:
Srivastava, Pranjal, Thakkar, Dhara
Let $n$ be a positive integer greater than $2$. We define \textit{the Proth numerical semigroup}, $P_{k}(n)$, generated by $\{k 2^{n+i}+1 \,\mid\, i \in \mathbb{N}\}$, where $k$ is an odd positive number and $k < 2^{n}$. In this paper, we introduce t
Externí odkaz:
http://arxiv.org/abs/2311.12462
In this paper, our aim is twofold: First, by using the technique of gluing semigroups, we give infinitely many families of a projective closure with the Cohen-Macaulay (Gorenstein) property. Also, we give an effective technique for constructing large
Externí odkaz:
http://arxiv.org/abs/2311.11788
Autor:
Srivastava, Pranjal
In this paper, we study the nearly Gorenstein projective closure of numerical semigroups. We also studied the nealy Gorenstein property of associated graded ring of simplicial affine semigroups. Moreover, in case of gluing of numerical semigroups, we
Externí odkaz:
http://arxiv.org/abs/2310.00619
In this paper, we study the class of affine semigroup generated by integral vectors, whose components are in generalised arithmetic progression and we observe that the defining ideal is determinantal. We also give a sufficient condition on the defini
Externí odkaz:
http://arxiv.org/abs/2305.08612
We compute the light antiquark flavor asymmetry in the proton using the Chiral Quark Model ($\chi_{\rm QM}$). The distribution functions for the light antiquarks $\bar{d}(x)$ and $\bar{u}(x)$ have been extracted with the help of experimental data fro
Externí odkaz:
http://arxiv.org/abs/2303.11744
Argument mining automatically identifies and extracts the structure of inference and reasoning conveyed in natural language arguments. To the best of our knowledge, most of the state-of-the-art works in this field have focused on using tree-like stru
Externí odkaz:
http://arxiv.org/abs/2302.13906
Our aim in this paper is to compute the Poincar\'{e} series of the derivation module of the projective closure of certain affine monomial curves.
Externí odkaz:
http://arxiv.org/abs/2212.12107
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 Gr\"{o}bner basis. We generalize the concept of homogeneous numerical semigroup for the si
Externí odkaz:
http://arxiv.org/abs/2210.07520
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 projective closure are preserved under this gluing operation. We then
Externí odkaz:
http://arxiv.org/abs/2111.13022