Zobrazeno 1 - 10
of 52
pro vyhledávání: '"Bigdeli, Mina"'
Autor:
Bigdeli, Mina, Pour, Ali Akbar Yazdan
This paper concerns the study of a class of clutters called simplicial subclutters. Given a clutter $\mathcal{C}$ and its simplicial subclutter $\mathcal{D}$, we compare some algebraic properties and invariants of the ideals $I, J$ associated to thes
Externí odkaz:
http://arxiv.org/abs/2010.01012
Autor:
Bigdeli, Mina
A graded ideal $I$ in $\mathbb{K}[x_1,\ldots,x_n]$, where $\mathbb{K}$ is a field, is said to have almost maximal finite index if its minimal free resolution is linear up to the homological degree $\mathrm{pd}(I)-2$, while it is not linear at the hom
Externí odkaz:
http://arxiv.org/abs/2001.03938
Each (equigenerated) squarefree monomial ideal in the polynomial ring $S=\mathbb{K}[x_1, \ldots, x_n]$ represents a family of subsets of $[n]$, called a (uniform) clutter. In this paper, we introduce a class of uniform clutters, called decomposable c
Externí odkaz:
http://arxiv.org/abs/1807.11012
Autor:
Bigdeli, Mina, Faridi, Sara
Using the concept of $d$-collapsibility from combinatorial topology, we define chordal simplicial complexes and show that their Stanley-Reisner ideals are componentwise linear. Our construction is inspired by and an extension of "chordal clutters'' w
Externí odkaz:
http://arxiv.org/abs/1806.07211
Chordal clutters in the sense of [14] and [3] are defined via simplicial orders. Their circuit ideal has a linear resolution, independent of the characteristic of the base field. We show that any Betti sequence of an ideal with linear resolution appe
Externí odkaz:
http://arxiv.org/abs/1602.02258
Autor:
Bigdeli, Mina, Yazdan Pour, Ali Akbar
Publikováno v:
In Journal of Combinatorial Theory, Series A February 2021 178
To a pair $P$ and $Q$ of finite posets we attach the toric ring $K[P,Q]$ whose generators are in bijection to the isotone maps from $P$ to $Q$. This class of algebras, called isotonian, are natural generalizations of the so-called Hibi rings. We dete
Externí odkaz:
http://arxiv.org/abs/1512.01973
For a given clutter $\mathcal{C}$, let $I:=I ( \bar{\mathcal{C}} )$ be the circuit ideal in the polynomial ring $S$. In this paper, we show that the Betti numbers of $I$ and $I + ( \textbf{x}_F )$ are the same in their non-linear strands, for some su
Externí odkaz:
http://arxiv.org/abs/1508.03799
This article provides the basic algebraic background on infinitesimal deformations and presents the proof of the well-known fact that the non-trivial infinitesimal deformations of a $K$-algebra $R$ are parameterized by the elements of cotangent modul
Externí odkaz:
http://arxiv.org/abs/1508.01290
Publikováno v:
Journal of Pure and Applied Algebra 220 (2016) 2914-2935
We call a simplicial complex algebraically rigid if its Stanley-Reisner ring admits no nontrivial infinitesimal deformations, and call it inseparable if does not allow any deformation to other simplicial complexes. Algebraically rigid simplicial comp
Externí odkaz:
http://arxiv.org/abs/1503.08080