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
NULL##NULL
Toshiaki Maeno;Yasuhide Numata
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.
Tadahito Harima;Toshiaki Maeno;Hideaki Morita;Yasuhide Numata;Akihito Wachi;et al., Lecture notes in mathematics, k-Lefschetz Properties, pp. 171-188, 2013, 10.1007/978-3-642-38206-2_6.
Tadahito Harima;Toshiaki Maeno;Hideaki Morita;Yasuhide Numata;Akihito Wachi;et al., Lecture notes in mathematics, A Generalization of Lefschetz Elements, pp. 157-170, 2013, 10.1007/978-3-642-38206-2_5.
Tadahito Harima;Toshiaki Maeno;Hideaki Morita;Yasuhide Numata;Akihito Wachi;et al., Lecture notes in mathematics, Basics on the Theory of Local Rings, pp. 39-95, 2013, 10.1007/978-3-642-38206-2_2.
Tadahito Harima;Toshiaki Maeno;Hideaki Morita;Yasuhide Numata;Akihito Wachi;et al., Lecture notes in mathematics, Cohomology Rings and the Strong Lefschetz Property, pp. 189-199, 2013, 10.1007/978-3-642-38206-2_7.
Tadahito Harima;Toshiaki Maeno;Hideaki Morita;Yasuhide Numata;Akihito Wachi;et al., Lecture notes in mathematics, Lefschetz Properties, pp. 97-140, 2013, 10.1007/978-3-642-38206-2_3.
Tadahito Harima;Toshiaki Maeno;Hideaki Morita;Yasuhide Numata;Akihito Wachi;et al., Lecture notes in mathematics, Complete Intersections with the SLP, pp. 141-156, 2013, 10.1007/978-3-642-38206-2_4.
Tadahito Harima;Toshiaki Maeno;Hideaki Morita;Yasuhide Numata;Akihito Wachi;et al., Lecture notes in mathematics, Poset Theory, pp. 1-38, 2013, 10.1007/978-3-642-38206-2_1.
Tadahito Harima;Toshiaki Maeno;Hideaki Morita;Yasuhide Numata;Akihito Wachi;et al., Lecture notes in mathematics, Invariant Theory and Lefschetz Properties, pp. 201-209, 2013, 10.1007/978-3-642-38206-2_8.
Tadahito Harima;Toshiaki Maeno;Hideaki Morita;Yasuhide Numata;Akihito Wachi;et al., Lecture notes in mathematics, The Strong Lefschetz Property and the Schur–Weyl Duality, pp. 211-234, 2013, 10.1007/978-3-642-38206-2_9.