38 research outputs found
Cohen-Macaulay binomial edge ideals
We study the depth of classes of binomial edge ideals and classify all closed
graphs whose binomial edge ideal is Cohen--Macaulay.Comment: 9 page
Binomial edge ideals and rational normal scrolls
Let be the Hankel matrix of size and let be a closed
graph on the vertex set We study the binomial ideal which is generated by all the -minors of which
correspond to the edges of We show that is Cohen-Macaulay. We find
the minimal primes of and show that is a set theoretical complete
intersection. Moreover, a sharp upper bound for the regularity of is
given
A note on the regularity of Hibi rings
We compute the regularity of the Hibi ring of any finite distributive lattice
in terms of its poset of join irreducible elements.Comment: 5 pages, 2 figure