S. A. Seyed Fakhari

activity

20122023

collaborators

5 papers

math.AC2023

On the index of depth stability of symbolic powers of cover ideals of graphs

Seyed Amin Seyed Fakhari, Siamak Yassemi

Let $G$ be a graph with $n$ vertices and let $S = K [x_{1}, \dots, x_{n}]$ be the polynomial ring in $n$ variables over a field $K$ . Assume that $I (G)$ and $J (G)$ denote t…

math.AC2014

On the Stanley depth of squarefree monomial ideals

S. A. Seyed Fakhari

Let $K$ be a field and $S = K [x_{1}, \dots, x_{n}]$ be the polynomial ring in $n$ variables over the field $K$ . Suppose that $C$ is a chordal clutter w…

math.AC2014

Stanley depth of weakly polymatroidal ideals

S. A. Seyed Fakhari

Let $K$ be a field and $S = K [x_{1}, \dots, x_{n}]$ be the polynomial ring in $n$ variables over the field $K$ . In this paper, it is shown that Stanley's conject…

math.AC2012

Stanley depth of the integral closure of monomial ideals

S. A. Seyed Fakhari

Let $I$ be a monomial ideal in the polynomial ring $S = K [x_{1}, ..., x_{n}]$ . We study the Stanley depth of the integral closure $I ˉ$ of $I$ . We prove that for every integer…

math.CO2012

Intersecting faces of a simplicial complex via algebraic shifting

S. A. Seyed Fakhari

A family $A$ of sets is {\it $t$ -intersecting} if the cardinality of the intersection of every pair of sets in $A$ is at least $t$ , and is an {\it $r$ -family} i…