3 citations · 4 across the 6 of their papers we have counts for
6 papers · 1 filter
Syzygies of Hibi rings
Viviana Ene
We survey recent results on resolutions of Hibi rings.
A note on the regularity of Hibi rings
Viviana Ene, Jürgen Herzog, Sara Saeedi Madani
We compute the regularity of the Hibi ring of any finite distributive lattice in terms of its poset of join irreducible elements.
Binomial edge ideals and rational normal scrolls
Faryal Chaudhry, Ahmet Dokuyucu, Viviana Ene
Let be the Hankel matrix of size and let be a closed graph on the vertex set We study the binomial ideal which is gene…
Linearly related polyominoes
Viviana Ene, Jürgen Herzog, Takayuki Hibi
We classify all convex polyomino ideals which are linearly related or have a linear resolution. Convex stack polyominoes whose ideals are extremal Gorenstein are also classified. I…
The join-meet ideal of a finite lattice
Viviana Ene, Takayuki Hibi
Radical binomial ideals associated with finite lattices are studied. Gröbner basis theory turns out to be an efficient tool in this investigation.
Cohen-Macaulay binomial edge ideals
Viviana Ene, Juergen Herzog, Takayuki Hibi
We study the depth of classes of binomial edge ideals and classify all closed graphs whose binomial edge ideal is Cohen--Macaulay.