H. Saremi

activity

20192025

collaborators

3 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.AC2019

Unmixedness and arithmetic properties of matroidal ideals

Hero Saremi, Amir Mafi

Let $R = k [x_{1}, ..., x_{n}]$ be the polynomial ring in $n$ variables over a field $k$ and $I$ be a matroidal ideal of degree $d$ . In this paper, we study the unmixedness properties and t…