4 papers · 1 filter
Cellular resolutions of monomial ideals and their Artinian reductions
Sara Faridi, Mohammad Farrokhi Derakhshandeh Ghouchan, Roghayyeh Ghorbani +1
The question we address in this paper is: which monomial ideals have minimal cellular resolutions, that is, minimal resolutions obtained from homogenizing the chain maps of CW-comp…
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…
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…
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…