On the Sperner property and Gorenstein Algebras Associated to Matroids

Toshiaki Maeno; Yasuhide Numata

doi:10.46298/dmtcs.3028

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 MatroidsConference paper

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.

https://doi.org/10.46298/dmtcs.3028

Source: HAL:hal-01283139v1

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]

Bibliographic References

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