A. S. Jahan

activity

20062019

most citedStanley decompositions of squarefree modules and Alexander duality

7 citations · 19 across the 10 of their papers we have counts for

collaborators

12 papers

math.AC2019★ 1 cited

On the monomial reduction number of a monomial ideal in $K [x, y]$

Jürgen Herzog, Somayeh Moradi, Masoomeh Rahimbeigi +1

The reduction number of monomial ideals in the polynomial $K [x, y]$ is studied. We focus on ideals $I$ for which $J = (x^{a}, y^{b})$ is a reduction ideal. The computation of the reduction…

math.AC2018

Linear syzygy graph and linear resolution

Erfan Manouchehri, Ali Soleyman Jahan

For each squarefree monomial ideal $I \subset S = k [x_{1}, \dots, x_{n}]$ , we associate a simple graph $G_{I}$ by using the first linear syzygies of $I$ . In cases, where $G_{I}$ is a c…

math.AC2018

A family of monomial ideals with the persistence property

Somayeh Moradi, Masoomeh Rahimbeigi, Fahimeh Khosh-Ahang +1

In this paper we introduce a family of monomial ideals with the persistence property. Given positive integers $n$ and $t$ , we consider the monomial ideal $I = I n d_{t} (P_{n})$ generated b…

math.AC2015

The cleanness of (symbolic) powers of Stanley-Reisner ideals

Somayeh Bandari, Ali Soleyman Jahan

Let $Δ$ be a pure simplicial complex and $I_{Δ}$ its Stanley-Reisner ideal in a polynomial ring $S$ . We show that $Δ$ is a matroid (complete intersection) if and only if $S/I_Δ^{(m)}…

math.AC2013

Pretty cleanness and filter-regular sequences

Somayeh Bandari, Kamran Divaani-Aazar, Ali Soleyman Jahan

Let $K$ be a field and $S = K [x_{1}, \dots, x_{n}]$ . Let $I$ be a monomial ideal of $S$ and $u_{1}, \dots, u_{r}$ be monomials in $S$ which form a filter-regular sequence on $S / I$ . We show t…