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On the Sperner property and Gorenstein Algebras Associated to Matroids

Authors :
Toshiaki Maeno
Yasuhide Numata
Source :
Discrete Mathematics & Theoretical Computer Science, Vol DMTCS Proceedings vol. AR,..., Iss Proceedings (2012)
Publication Year :
2012
Publisher :
Discrete Mathematics & Theoretical Computer Science, 2012.

Abstract

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.

Details

Language :
English
ISSN :
13658050
Volume :
DMTCS Proceedings vol. AR,...
Issue :
Proceedings
Database :
Directory of Open Access Journals
Journal :
Discrete Mathematics & Theoretical Computer Science
Publication Type :
Academic Journal
Accession number :
edsdoj.640e91106e7145c59c5e09572d5bb86e
Document Type :
article
Full Text :
https://doi.org/10.46298/dmtcs.3028