On the Sperner property and Gorenstein Algebras Associated to Matroids

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. Nous présentons une classe d'algèbres associées aux matroïdes. N...

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Bibliographic Details

Published in:	Discrete Mathematics & Theoretical Computer Science Vol. DMTCS Proceedings vol. AR,...; no. Proceedings; pp. 157 - 168
Main Authors:	Maeno, Toshiaki, Numata, Yasuhide
Format:	Journal Article Conference Proceeding
Language:	English Japanese
Published:	Centre pour la Communication Scientifique Directe (CCSD) 01.01.2012 DMTCS Discrete Mathematics and Theoretical Computer Science Discrete Mathematics & Theoretical Computer Science
Series:	DMTCS Proceedings
Subjects:	[INFO.INFO-DM]Computer Science [cs]/Discrete Mathematics [cs.DM] Computer Science Discrete Mathematics lefschetz property Mathematics QA1-939 ranked poset universal Grôbner bases Lefschetz property ranked poset universal Grôbner bases
ISSN:	1365-8050, 1462-7264, 1365-8050
Online Access:	Get full text
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