A. Mafi

activity

20042025

most citedAssociated primes of local cohomology modules of weakly Laskerian modules

5 citations · 18 across the 26 of their papers we have counts for

collaborators

33 papers

math.AC2025

Sequentially Cohen-Macaulay and pretty clean monomial ideals

Amir Mafi, Rando Rasul Qadir, Hero Saremi

Let $R = K [x_{1}, \dots, x_{n}]$ be the polynomial ring in $n$ variables over a field $K$ and $I$ be monomial ideal of $R$ . In this paper, we show that if $I$ is a generic monomial ideal…

math.AC2024

Unmixed polymatroidal ideals

Mozghan Koolani, Amir Mafi, Hero Saremi

Let $R = K [x_{1}, \dots, x_{n}]$ denote the polynomial ring in $n$ variables over a field $K$ and $I$ be a polymatroidal ideal of $R$ . In this paper, we provide a comprehensive classifica…

math.AC2023

An upper bound on stability of powers of matroidal ideals

Mozhgan Koolani, Amir Mafi, Parasto Soufivand

Let $R = K [x_{1}, \dots, x_{n}]$ be a polynomial ring in $n$ variables over a field $K$ and $I$ be a matroidal ideal of degree $d$ . Let $\astab(I)$ and $\dstab(I)$ be the smallest integer…

math.AC2023

A remark on sequentially Cohen-Macaulay monomial ideals

Mozhgan Koolani, Amir Mafi

Let $R = K [x_{1}, \dots, x_{n}]$ be the polynomial ring in $n$ variables over a field $K$ . We show that if $G$ is a connected graph with a basic $5$ -cycle $C$ , then $G$ is a sequentially…

math.AC2022

Polarizations of Artin monomial ideals

Gunnar Fløystad, Ine Gabrielsen, Amir Mafi

We show that any polarization of an Artin monomial ideal defines a triangulated ball. This proves a conjecture of A.Almousa, H.Lohne and the first author. Geometrically, polarizati…

math.AC2022

Quasi-forest simplicial complexes and almost Cohen-Macaulay

Chwas Ahmed, Amir Mafi, Mohammed Rafiq Namiq

In this paper we study the quasi-forest simplicial complexes and we define the concept of simplicial $k$ -cycle (denoted by $S_{k}$ ) and simplicial $k$ -point (denoted by $\m…