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arXiv · 1405.6963

Pseudo-Gorenstein and level Hibi rings

Viviana Ene·Jürgen Herzog·Takayuki Hibi·Sara Saeedi Madani
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Abstract

We introduce pseudo-Gorenstein rings and characterize those Hibi rings attached to a finite distributive lattice L which are pseudo-Gorenstein. The characterization is given in terms of the poset of join-irreducible elements of L. We also present a necessary condition for Hibi rings to be level. Special attention is given to planar and hyper-planar lattices. Finally the pseudo-Goresntein and level property of Hibi rings and generalized Hibi rings is compared with each other.

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Viviana Ene, Jürgen Herzog, Takayuki Hibi, Sara Saeedi Madani. 2014-05-27. Pseudo-Gorenstein and level Hibi rings. https://arxiv.org/abs/1405.6963

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