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TitleLinear spaces, transversal polymatroids and ASL domains.
Author(s) Aldo Conca
TypeArticle in Journal
AbstractWe study a class of algebras associated with linear spaces and its relations with polymatroids and integral posets, i.e. posets supporting homogeneous ASL. We prove that the base ring of a transversal polymatroid is Koszul and describe a new class of integral posets. As a corollary we obtain that every Veronese subring of a polynomial ring is an ASL.
KeywordsFamilies of linear spaces, Transversal polymatroids, Koszul algebras
ISSN0925-9899; 1572-9192/e
URL http://link.springer.com/article/10.1007%2Fs10801-006-0026-3
LanguageEnglish
JournalJ. Algebr. Comb.
Volume25
Number1
Pages25--41
PublisherSpringer US, New York, NY
Year2007
Edition0
Translation No
Refereed No
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