Geodesic
Linear spaces, transversal polymatroids and ASL domains
Journal of Algebraic Combinatorics, Tome 25 (2007) no. 1, pp. 25-41.

Voir la notice de l'article provenant de la source Electronic Library of Mathematics

Summary: We 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.
Keywords: keywords families of linear spaces, transversal polymatroids, Koszul algebras, ASL, Veronese rings, Gröbner bases 
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     author = {Conca, Aldo},
     title = {Linear spaces, transversal polymatroids and {ASL} domains},
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Conca, Aldo. Linear spaces, transversal polymatroids and ASL domains. Journal of Algebraic Combinatorics, Tome 25 (2007) no. 1, pp. 25-41. http://geodesic.mathdoc.fr/item/JAC_2007__25_1_a3/