Indispensable Hibi relations and Groebner Bases

Details Indispensable Hibi relations and Groebner Bases Indispensable Hibi relations and Groebner Bases

2012-03-02

arxiv.org/abs/1203.0438v1

Mathematics

Commutative Algebra

14 pages, 7 figures

Scientific paper

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.

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