Takayuki Hibi

collaborators

5 papers

math.AC2026

Weakly Newton-nondegenerate binomial ideals

Takayuki Hibi, Vinh Anh Pham

An ideal $I$ of a polynomial ring $R = k [x_{1}, \dots, x_{n}]$ is called weakly Newton-nondegenerate, or weakly NND, if its integral closure $I$ is a monomial ideal. We study we…

math.AC2026

Depth and Krull dimension of Binomial edge ideals

Takayuki Hibi, Sara Saeedi Madani

Let $J_{G}$ denote the binomial edge ideal of a finite graph $G$ in the polynomial ring $S$ . We determine all triples $(n, t, d)$ with $n \geq 3$ for which there exists a finite connect…

math.AC2026

Prime and Cohen--Macaulay binomial ideals with linear resolution

Takayuki Hibi, Ayesha Asloob Qureshi, Sara Saeedi Madani

Let $I$ be an ideal of a polynomial ring $S$ over a field $K$ for which $I$ is minimally generated by at least two quadratic binomials. Suppose that (i) $I$ is prime, (ii) $S / I$ is…

math.AC2025

Minimal primes and radicality of ideals generated by adjacent 2-minors

Takayuki Hibi, Francesco Navarra, Ayesha Asloob Qureshi +1

In this paper, we provide a complete description of the minimal primes of ideals generated by adjacent $2$ -minors, in terms of the so-called admissible sets and associated lattice…

math.AC2025

Complementary edge ideals

Takayuki Hibi, Ayesha Asloob Qureshi, Sara Saeedi Madani

In this paper, we introduce the concept of complementary edge ideals of graphs and study their algebraic properties and invariants.