Dler Naderi

activity

20172022

most citedA note on linear resolution and polymatroidal ideals

1 citations · 2 across the 8 of their papers we have counts for

collaborators

10 papers

math.CO2022

On vertex decomposability and regularity of graphs

Amir Mafi, Dler Naderi, Parasto Soufivand

There are two motivation questions in \cite{MTS, MTS1} about Castelnuovo-Mumford regularity and vertex decomposable of simple graph $G$ . In this paper, we disprove the questions by…

math.AC2022★ 1 cited

Vertex decomposability and weakly polymatroidal ideals

Amir Mafi, Dler Naderi, Hero Saremi

Let $K$ be a field and $R = K [x_{1}, \dots, x_{n}]$ be the polynomial ring in $n$ variables over a field $K$ . Let $Δ$ be a simplicial complex on $n$ vertices and $I = I_{Δ}$ be its Stanley-R…

math.AC2021

Almost Cohen-Macaulay bipartite graphs and connected in codimension two

Amir Mafi, Dler Naderi

In this paper we study almost Cohen-Macaulay bipartite graphs. Furthermore, we prove that if $G$ is almost Cohen-Macaulay bipartite graph with at least one vertex of positive degre…

math.AC2021

Integral closure and Hilbert series of a special monomial ideal

Amir Mafi, Dler Naderi

Let $R = K [x_{1}, \dots, x_{n}]$ be the polynomial ring in $n$ variables over a field $K$ and let $M_{n, t} = (x^{e_{1}}, \dots, x^{e_{n}})$ be a monomial ideal of $R$ , where $x^{e_i}=x_1^t\ldo…

math.AC2021

A note on almost Cohen-Macaulay monomial ideals

Amir Mafi, Dler Naderi

Let $R = k [x_{1}, \dots, x_{n}]$ be the polynomial ring in $n$ variables over a field $k$ and let $I$ be a monomial ideal of $R$ . In this paper, we study almost Cohen-Macaulay simplici…

math.AC2018★ 1 cited

A note on linear resolution and polymatroidal ideals

Amir Mafi, Dler Naderi

Let $R = K [x_{1}, ..., x_{n}]$ be the polynomial ring in $n$ variables over a field $K$ and $I$ be a monomial ideal generated in degree $d$ . Bandari and Herzog conjectured that a monomial…

math.AC2018

On stability properties of powers of polymatroidal ideals

Shokoufe Karimi, Amir Mafi

Let $R = K [x_{1}, ..., x_{n}]$ be the polynomial ring in $n$ variables over a field $K$ with the maximal ideal $m = (x_{1}, ..., x_{n})$ . Let $\astab(I)$ and $\dstab(I)$ be the smallest int…

math.AC2017

On the first generalized Hilbert coefficient and depth of associated graded rings

Amir Mafi, Dler Naderi

Let $(R, m)$ be a $d$ -dimensional Cohen-Macaulay local ring with infinite residue field. Let $I$ be an ideal of $R$ that has analytic spread $ℓ (I) = d$ , satisfies the $G…

math.AC2017

Results on the Hilbert coefficients and reduction numbers

Amir Mafi, Dler Naderi

Let $(R, m)$ be a $d$ -dimensional Cohen-Macaulay local ring, $I$ an $m$ -primary ideal and $J$ a minimal reduction of $I$ . In this paper we study the independence of re…

math.AC2017

On the Hilbert coefficients, depth of associated graded rings and reduction numbers

Amir Mafi, Dler Naderi

Let $(R, m)$ be a $d$ -dimensional Cohen-Macaulay local ring, $I$ an $m$ -primary ideal of $R$ and $J = (x_{1}, ..., x_{d})$ a minimal reduction of $I$ . We show that if…