M. Bigdeli

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math.AC2020

Multigraded minimal free resolutions of simplicial subclutters

Mina Bigdeli, Ali Akbar Yazdan Pour

This paper concerns the study of a class of clutters called simplicial subclutters. Given a clutter $C$ and its simplicial subclutter $D$ , we compare some algeb…

math.AC2020

Edge ideals with almost maximal finite index and their powers

Mina Bigdeli

A graded ideal $I$ in $K [x_{1}, \dots, x_{n}]$ , where $K$ is a field, is said to have almost maximal finite index if its minimal free resolution is linear up to the ho…

math.AC2018

Decomposable clutters and a generalization of Simon's conjectutre

Mina Bigdeli, Ali Akbar Yazdan Pour, Rashid Zaare-Nahandi

Each (equigenerated) squarefree monomial ideal in the polynomial ring $S = K [x_{1}, \dots, x_{n}]$ represents a family of subsets of $[n]$ , called a (uniform) clutter. In this…

math.AC2018

Chordality, $d$ -collapsibility, and componentwise linear ideals

Mina Bigdeli, Sara Faridi

Using the concept of $d$ -collapsibility from combinatorial topology, we define chordal simplicial complexes and show that their Stanley-Reisner ideals are componentwise linear. Our…

Multigraded minimal free resolutions of simplicial subclutters

Edge ideals with almost maximal finite index and their powers

Decomposable clutters and a generalization of Simon's conjectutre

Chordality, d-collapsibility, and componentwise linear ideals

Chordality, $d$ -collapsibility, and componentwise linear ideals