On the Sperner property and Gorenstein Algebras Associated to Matroids

Autor:	Toshiaki Maeno, Yasuhide Numata
Jazyk:	angličtina
Rok vydání:	2012
Předmět:	lefschetz property ranked poset universal grôbner bases. [info.info-dm] computer science [cs]/discrete mathematics [cs.dm] Mathematics QA1-939
Zdroj:	Discrete Mathematics & Theoretical Computer Science, Vol DMTCS Proceedings vol. AR,..., Iss Proceedings (2012)
Druh dokumentu:	article
ISSN:	1365-8050
DOI:	10.46298/dmtcs.3028
Popis:	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.
Databáze:	Directory of Open Access Journals
Externí odkaz:	https://doaj.org/article/640e91106e7145c59c5e09572d5bb86e Zobrazit plný text záznamu View record in DOAJ