Ali Akbar Yazdan Pour

activity

20162022

collaborators

3 papers

math.AC2022

The saturation number of monomial ideals

Reza Abdolmaleki, Ali Akbar Yazdan Pour

Let $S = K [x_{1}, \dots, x_{n}]$ be the polynomial ring over a field $K$ and $m = (x_{1}, \dots, x_{n})$ be the irredundant maximal ideal of $S$ . For an ideal $I…

math.AC2021

Green-Lazarsfeld index of square-free monomial ideals and their powers

Mohammad Farrokhi Derakhshandeh Ghouchan, Yasin Sadegh, Ali Akbar Yazdan Pour

Let $K$ be a field and $I$ be a square-free monomial ideal in the polynomial ring $K [x_{1}, \dots, x_{n}]$ . The Green-Lazarsfeld index, $index (I)$ , counts t…

math.AC2016

Simplicial orders and chordality

Mina Bigdeli, Jürgen Herzog, Ali Akbar Yazdan Pour +1

Chordal clutters in the sense of [14] and [3] are defined via simplicial orders. Their circuit ideal has a linear resolution, independent of the characteristic of the base field. W…