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 ideals
with linear resolution we show that the decomposition function
is regular. For arbitrary lexsegment ideals we compute the
depth and the dimension. As application we characterize the
Cohen--Macaulay lexsegment ideals.
Publié le : 2010-03-15
Classification:
13C13,
13C14,
13D02,
13P99
@article{1266586786,
author = {Ene, Viviana and Olteanu, Anda and Sorrenti, Loredana},
title = {Properties of lexsegment ideals},
journal = {Osaka J. Math.},
volume = {47},
number = {1},
year = {2010},
pages = { 67-87},
language = {en},
url = {http://dml.mathdoc.fr/item/1266586786}
}
Ene, Viviana; Olteanu, Anda; Sorrenti, Loredana. Properties of lexsegment ideals. Osaka J. Math., Tome 47 (2010) no. 1, pp. 67-87. http://gdmltest.u-ga.fr/item/1266586786/