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arXiv · 1203.0438

Indispensable Hibi relations and Groebner Bases

Ayesha Asloob Qureshi
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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.

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Ayesha Asloob Qureshi. 2012-03-02. Indispensable Hibi relations and Groebner Bases. https://arxiv.org/abs/1203.0438

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