Abstract
All powers of lexsegment ideals with linear resolution (equivalently, with linear quotients) have linear quotients with respect to suitable orders of the minimal monomial generators. For a large subclass of lexsegment ideals, the corresponding Rees algebra has a quadratic Gröbner basis, thus it is Koszul. We also find other classes of monomial ideals with linear quotients whose powers have linear quotients too.
Citation
Viviana Ene. Anda Olteanu. "Powers of lexsegment ideals with linear resolution." Illinois J. Math. 56 (2) 533 - 549, Summer 2012. https://doi.org/10.1215/ijm/1385129963
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