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Viviana Ene
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Ayesha Asloob Qureshi
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Asia Rauf
Keywords:
Binomial ideals, distributive lattices, regularity
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 bounds 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.