15 citations · 71 across the 27 of their papers we have counts for
Showing 2010Show all
3 papers · 1 filter
math.AC2010
Powers of lexsegment ideals with linear resolution
Viviana Ene, Anda Olteanu
All powers of lexsegment ideals with linear resolution (equivalently, with linear quotients) have linear quotients with respect to suitable orders of the minimal monomial generator…
math.AC2010
Monomial ideals and toric rings of Hibi type arising from a finite poset
Viviana Ene, Juergen Herzog, Fatemeh Mohammadi
In this paper we study monomial ideals attached to posets, introduce generalized Hibi rings and investigate their algebraic and homological properties. The main tools to study thes…
math.AC2010
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.