R. Rahmati-asghar

activity

20152025

most citedCohen-Macaulay-ness in codimension for simplicial complexes and expansion functor

1 citations · 1 across the 9 of their papers we have counts for

collaborators

Showing 2017Show all

5 papers · 1 filter

math.CO2017

Expansion and contraction functors on matriods

Rahim Rahmati-Asghar

Let $M$ be a matroid. We study the expansions of $M$ mainly to see how the combinatorial properties of $M$ and its expansions are related to each other. It is shown that $M$ is a g…

math.AC2017

Pretty $k$ -clean monomial ideals and $k$ -decomposable multicomplexes

Rahim Rahmati-Asghar

We introduce pretty $k$ -clean monomial ideals and $k$ -decomposable multicomplexes, respectively, as the extensions of the notions of $k$ -clean monomial ideals and $k$ -decomposable…

math.AC2017

$k$ -clean monomial ideals

Rahim Rahmati-Asghar

In this paper, we introduce the concept of $k$ -clean monomial ideals as an extension of clean monomial ideals and present some homological and combinatorial properties of them. Usi…

math.AC2017

On the facet ideal of an expanded simplicial complex

Somayeh Moradi, Rahim Rahmati-Asghar

For a simplicial complex $Δ$ , the affect of the expansion functor on combinatorial properties of $Δ$ and algebraic properties of its Stanley-Reisner ring has been studied in some p…

math.AC2017

$k$ -shellable simplicial complexes and graphs

Rahim Rahmati-Asghar

In this paper we show that a $k$ -shellable simplicial complex is the expansion of a shellable complex. We prove that the face ring of a pure $k$ -shellable simplicial complex satisf…

Expansion and contraction functors on matriods

Pretty k-clean monomial ideals and k-decomposable multicomplexes

k-clean monomial ideals

On the facet ideal of an expanded simplicial complex

k-shellable simplicial complexes and graphs

Pretty $k$ -clean monomial ideals and $k$ -decomposable multicomplexes

$k$ -clean monomial ideals

$k$ -shellable simplicial complexes and graphs