4 citations · 14 across the 17 of their papers we have counts for
4 papers · 2 filters
Gotzmann lexsegment ideals
Anda Olteanu, Oana Olteanu, Loredana Sorrenti
In this paper we characterize the componentwise lexsegment ideals which are componentwise linear and the lexsegment ideals generated in one degree which are Gotzmann.
A note on the subword complexes in Coxeter groups
Anda Olteanu
We prove that the Stanley--Reisner ideal of the Alexander dual of the subword complexes in Coxeter groups has linear quotients with respect to the lexicographical order of the mini…
Classes of Monomial Ideals
Anda Olteanu
In this thesis, we focus on the study of some classes of monomial ideals, namely lexsegment ideals and monomial ideals with linear quotients.
Properties of lexsegment ideals
Viviana Ene, Anda Olteanu, Loredana Sorrenti
We show that any lexsegment ideal with linear resolution has linear quotients with respect to a suitable ordering of its minimal monomial generators. For completely lexsegment idea…