Details:
Title | Linear spaces, transversal polymatroids and ASL domains. | Author(s) | Aldo Conca | Type | Article in Journal | 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. | Keywords | Families of linear spaces, Transversal polymatroids, Koszul algebras | ISSN | 0925-9899; 1572-9192/e |
URL |
http://link.springer.com/article/10.1007%2Fs10801-006-0026-3 |
Language | English | Journal | J. Algebr. Comb. | Volume | 25 | Number | 1 | Pages | 25--41 | Publisher | Springer US, New York, NY | Year | 2007 | Edition | 0 | Translation |
No | Refereed |
No |
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