Takayuki Hibi

collaborators

4 papers

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

Antonino Ficarra, Somayeh Moradi

Let $S = K [x_{1}, \dots, x_{n}]$ be the polynomial ring over a field $K$ and $I \subset S$ be a squarefree monomial ideal generated in degree $n - 2$ . Motivated by the remarkable behavior of…

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.