INVARIANT THEORY-LIKE THEOREMS FOR MATROIDS AND ORIENTED MATROIDS

Citation
J. Bokowski et Ag. Deoliveira, INVARIANT THEORY-LIKE THEOREMS FOR MATROIDS AND ORIENTED MATROIDS, Advances in mathematics, 109(1), 1994, pp. 34-44
Citations number
20
Categorie Soggetti
Mathematics, General",Mathematics
Journal title
ISSN journal
00018708
Volume
109
Issue
1
Year of publication
1994
Pages
34 - 44
Database
ISI
SICI code
0001-8708(1994)109:1<34:ITTFMA>2.0.ZU;2-Q
Abstract
We characterize in algebraic terms the matroids that are not orientabl e. We solve also a problem of Rota, by providing a criterion for decid ing, for a proposition in projective geometry, whether its combinatori al counterpart is valid for matroids. (C) 1994 Academic Press, Inc.