Pseudo-Gorenstein and level Hibi rings
Commutative Algebra
2014-05-28 v1 Combinatorics
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.
Cite
@article{arxiv.1405.6963,
title = {Pseudo-Gorenstein and level Hibi rings},
author = {Viviana Ene and Jürgen Herzog and Takayuki Hibi and Sara Saeedi Madani},
journal= {arXiv preprint arXiv:1405.6963},
year = {2014}
}
Comments
23 pages, 10 figures