Linear spaces, transversal polymatroids and ASL domains

Authors:
Aldo Conca
Affiliations:
Dipartimento di Matematica, Universitá di Genova, Genova, Italy
Venue:
Journal of Algebraic Combinatorics: An International Journal
Year:
2007

Citing 2
Cited 1

Comprehensive Gro¨bner bases

Journal of Symbolic Computation
Discrete Polymatroids

Journal of Algebraic Combinatorics: An International Journal

Symmetric and quasi-symmetric functions associated to polymatroids

Journal of Algebraic Combinatorics: An International Journal

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Abstract

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.