1 citations · 1 across the 8 of their papers we have counts for
8 papers
Prime and Cohen-Macaulay ideals of 2-minors with linear resolution
Takayuki Hibi, Ayesha Asloob Qureshi
Prime and Cohen-Macaulay ideals of 2-minors of matrices of variables with linear resolution are classified.
Weakly Newton-nondegenerate binomial ideals
Takayuki Hibi, Vinh Anh Pham
An ideal of a polynomial ring is called weakly Newton-nondegenerate, or weakly NND, if its integral closure is a monomial ideal. We study we…
Depth and Krull dimension of Binomial edge ideals
Takayuki Hibi, Sara Saeedi Madani
Let denote the binomial edge ideal of a finite graph in the polynomial ring . We determine all triples with for which there exists a finite connect…
Prime and Cohen--Macaulay binomial ideals with linear resolution
Takayuki Hibi, Ayesha Asloob Qureshi, Sara Saeedi Madani
Let be an ideal of a polynomial ring over a field for which is minimally generated by at least two quadratic binomials. Suppose that (i) is prime, (ii) is…
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 -minors, in terms of the so-called admissible sets and associated lattice…
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.
A New Invariant of Lattice polytopes
Winfried Bruns, Takayuki Hibi
The maximal degree of monomials belonging to the unique minimal system of monomial generators of the canonical module of the toric ring defin…
Ideals with componentwise linear powers
Takayuki Hibi, Somayeh Moradi
Let be the polynomial ring over a field , and let be a finitely generated standard graded -algebra. We show that if the defining ideal of has a…