R. Rahmati-asghar

collaborators

4 papers

math.AC2018

On the polymatroidal property of monomial ideals with a view towards orderings of minimal generators

Somayeh Bandari, Rahim Rahmati-Asghar

We prove that a monomial ideal $I$ generated in a single degree, is polymatroidal if and only if it has linear quotients with respect to the lexicographical ordering of the minimal…

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…

On the polymatroidal property of monomial ideals with a view towards orderings of minimal generators

Expansion and contraction functors on matriods

Pretty k-clean monomial ideals and k-decomposable multicomplexes

k-clean monomial ideals

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

$k$ -clean monomial ideals