H. Saremi

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.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…

math.AC2024

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 $I^$ be a simplicial complex on $n$ vertices and $I = I_{I^} $ be its Stanley…