3 papers
math.AC2021
Extending simplicial complexes: Topological and combinatorial properties
Mohammad Farrokhi Derakhshandeh Ghouchan, Alireza Shamsian, Ali Akbar Yazdan Pour
Given an arbitrary hypergraph , we may glue to a family of hypergraphs to get a new hypergraph having as an induced subhyper…
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 and its simplicial subclutter , we compare some algeb…
math.AC2020
The Valabrega-Valla modules of monomial ideals
Abbas Nasrollah Nejad, Ali Akbar Yazdan Pour
In this paper, we focus on the initial degree and the vanishing of the Valabrega-Valla module of a pair of monomials ideals in a polynomials ring over a field $\math…