Rashid Zaare-Nahandi

activity

20102021

most citedOn the initial behaviour of the number of generators of powers of monomial ideals

2 citations · 2 across the 4 of their papers we have counts for

collaborators

6 papers

math.AC2021

Toric ideals which are determinantal

Reza Abdolmaleki, Rashid Zaare-Nahandi

Given any equigenerated monomial ideal $I$ with the property that the defining ideal $J$ of the fiber cone $F (I)$ of $I$ is generated by quadratic binomials, we introduce a matrix…

math.AC2020★ 2 cited

On the initial behaviour of the number of generators of powers of monomial ideals

Reza Abdolmaleki, Jürgen Herzog, Rashid Zaare-Nahandi

Given a number $q$ , we construct a monomial ideal $I$ with the property that the function which describes the number of generators of $I^{k}$ has at least $q$ local maxima.

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.AC2017

Torsion-free Aluffi Algebras

Abbas Nasrollah Nejad, Zahra Shahidi, Rashid Zaare-Nahandi

A pair of ideals $J \subseteq I \subseteq R$ has been called Aluffi torsion-free if the Aluffi algebra of $I / J$ is isomorphic with the corresponding Rees algebra. We give necessary a…

math.AC2012

Cohen-Macaulay $r$ -partite graphs with minimal clique cover

Asghar Madadi, Rashid Zaare-Nahandi

In this note, we give some necessary conditions for an $r$ -partite graph such that the edge ring of the graph is Cohen-Macaulay. It is proved that if $G$ is an $r$ -partite Cohen-Ma…

math.AC2010

Cohen-Macaulayness of bipartite graphs, revisited