Maeno, Toshiaki and Numata, Yasuhide - On the Sperner property and Gorenstein Algebras Associated to Matroids

dmtcs:3028 - Discrete Mathematics & Theoretical Computer Science, January 1, 2012, DMTCS Proceedings vol. AR, 24th International Conference on Formal Power Series and Algebraic Combinatorics (FPSAC 2012)
On the Sperner property and Gorenstein Algebras Associated to Matroids

Authors: Maeno, Toshiaki and Numata, Yasuhide

We introduce a certain class of algebras associated to matroids. We prove the Lefschetz property of the algebras for some special cases. Our result implies the Sperner property for the Boolean lattice and the vector space lattice.


Volume: DMTCS Proceedings vol. AR, 24th International Conference on Formal Power Series and Algebraic Combinatorics (FPSAC 2012)
Section: Proceedings
Published on: January 1, 2012
Submitted on: January 31, 2017
Keywords: Lefschetz property, ranked poset, universal Grôbner bases.,[INFO.INFO-DM] Computer Science [cs]/Discrete Mathematics [cs.DM]


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