Indispensable Hibi relations and Groebner Bases
Commutative Algebra
2012-03-05 v1
Abstract
In this paper we consider Hibi rings and Rees rings attached to a poset. We classify the ideal lattices of posets whose Hibi relations are indispensable and the ideal lattices of posets whose Hibi relations form a quadratic Groebner basis with respect to the rank lexicographic order. Similar classifications are obtained for Rees rings of Hibi ideals.
Cite
@article{arxiv.1203.0438,
title = {Indispensable Hibi relations and Groebner Bases},
author = {Ayesha Asloob Qureshi},
journal= {arXiv preprint arXiv:1203.0438},
year = {2012}
}
Comments
14 pages, 7 figures