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arXiv · 1307.7557

Regularity of joint-meet ideals of distributive lattices

Viviana Ene·Ayesha Asloob Qureshi·Asia Rauf
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Abstract

Let $L$ be a distributive lattice and $R(L)$ the associated Hibi ring. We compute $\reg R(L)$ when $L$ is a planar lattice and give a lower bound for $\reg R(L)$ when $L$ is non-planar, in terms of the combinatorial data of $L.$ As a consequence, we characterize the distributive lattices $L$ for which the associated Hibi ring has a linear resolution.

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Viviana Ene, Ayesha Asloob Qureshi, Asia Rauf. 2013-07-30. Regularity of joint-meet ideals of distributive lattices. https://arxiv.org/abs/1307.7557

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