Zobrazeno 1 - 10
of 3 809
pro vyhledávání: '"SEMIGROUP algebras"'
This paper focuses on the cohomology of operator algebras associated with the free semigroup generated by the set $\{z_{\alpha}\}_{\alpha\in\Lambda}$, with the left regular free semigroup algebra $\mathfrak{L}_{\Lambda}$ and the non-commutative disc
Externí odkaz:
http://arxiv.org/abs/2407.14729
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
Each numerical semigroup $S$ with smallest positive element $m$ corresponds to an integer point in a polyhedral cone $C_m$, known as the Kunz cone. The faces of $C_m$ form a stratification of numerical semigroups that has been shown to respect a numb
Externí odkaz:
http://arxiv.org/abs/2405.01700
We study affine semigroup rings as algebras over subsemigroup rings. From this relative viewpoint with respect to a given subsemigroup ring, the fibered sum of two affine semigroup algebras is constructed. Such a construction is compared to the tenso
Externí odkaz:
http://arxiv.org/abs/2403.06219
Autor:
Guo, Junying1 (AUTHOR), Guo, Xiaojiang2 (AUTHOR) xjguo@jxnu.edu.cn
Publikováno v:
Semigroup Forum. Feb2023, Vol. 106 Issue 1, p160-168. 9p.
Autor:
Sahami, A.1 (AUTHOR), Askari-Sayah, M.2 (AUTHOR), Shariati, S. F.2 (AUTHOR), Rostami, M.3 (AUTHOR) mross@aut.ac.ir
Publikováno v:
Semigroup Forum. Oct2022, Vol. 105 Issue 2, p570-574. 5p.
Numerical semigroups with multiplicity $m$ are parameterized by integer points in a polyhedral cone $C_m$, according to Kunz. For the toric ideal of any such semigroup, the main result here constructs a free resolution whose overall structure is iden
Externí odkaz:
http://arxiv.org/abs/2310.03612
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