S. Fakhari

collaborators

11 papers

math.AC2026

Regularity and depth of binomial ideals arising from combinatorics

Takayuki Hibi, Seyed Amin Seyed Fakhari

Regularity and depth of binomial ideals generated by adjacent $2$ -minors together with those arising from finite lattices are studied.

math.AC2026

An algebraic study of ideals of weak graph homomorphisms

Francesco Navarra, Ayesha Asloob Qureshi, Seyed Amin Seyed Fakhari

Let $G$ and $H$ be finite simple graphs and assume that either both are undirected or both are directed. We introduce and study the ideal of weak graph homomorphisms $I_{G \to H}$ .…

math.AC2026

Depth of edge ideals and vertex connectivity of finite graphs

Takayuki Hibi, Seyed Amin Seyed Fakhari

Let $G$ be a finite graph on $[n] := {1, \dots, n}$ and $I^º (G)$ its vertex connectivity. Let $S = K [x_{1}, \dots, x_{n}]$ denote the polynomial ring in $n$ variables over a field $K$ a…

math.AC2026

Modular lattices and algebras with straightening laws

Takayuki Hibi, Seyed Amin Seyed Fakhari

The conjecture that every modular lattice is integral is disproved.

math.AC2026

Partially ordered sets of distributive type and algebras with straightening laws

Takayuki Hibi, Seyed Amin Seyed Fakhari

A finite poset (partially ordered set) $P$ with $0^$ is called of distributive type if every interval $[0^, a]$ , $a \in P$ , of $P$ is a distributive lattice. From a vie…

math.AC2025

Bounded powers of edge ideals: Pseudo-Gorenstein and Level polytopes

Takayuki Hibi, Seyed Amin Seyed Fakhari

A lattice polytope $P \subset R^{n}$ of dimension $n$ is called level* if (i) $P$ is normal, (ii) $(\mathcal{P} \setminus \partial \mathcal{P}) \cap \mat…