Toshiaki Maeno ; Yasuhide Numata - 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) - https://doi.org/10.46298/dmtcs.3028
On the Sperner property and Gorenstein Algebras Associated to MatroidsArticle

Authors: Toshiaki Maeno 1; Yasuhide Numata 2,3

  • 1 Department of Electrical Engineering [Kyoto]
  • 2 Department of Mathematical Informatics
  • 3 Japan Science and Technology Agency

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
Imported on: January 31, 2017
Keywords: Lefschetz property, ranked poset, universal Grôbner bases.,[INFO.INFO-DM] Computer Science [cs]/Discrete Mathematics [cs.DM]

10 Documents citing this article

Consultation statistics

This page has been seen 210 times.
This article's PDF has been downloaded 342 times.