A. Mafi

collaborators

4 papers

math.AC2026

Polarizations of Artin monomial ideals

Gunnar FlÃ¸ystad, 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.AC2025

Sequentially Cohen-Macaulay Co-Chordal Graphs: Structure and Projective Dimension

Chwas Ahmed, Amir Mafi, Mohammed Rafiq Namiq

We introduce a class of chordal graphs called ( $d_{1}$ , $d_{2}$ , $\dots$ , $d_{q}$ )-trees. A graph belongs to this class if and only if its clique complex is sequentially Cohen-Macaulay, pro…

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.AC2025

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…