Vectors of matroids over tracts

JOURNAL OF COMBINATORIAL THEORY SERIES A

卷:161

Article

Anderson, Laura¹ 

[1] Binghamton Univ, Dept Math Sci, Binghamton, NY 13902 USA

关键词: Matroid;    Oriented matroid;    Tract;    Hyperfield;    Covector;   

DOI  :  10.1016/j.jcta.2018.08.002

来源: Elsevier

【 摘 要 】

We enrich Baker and Bowler's theory of matroids over tracts with notions of vectors and covectors. In the case of oriented matroids, these F-vectors and F-covectors coincide with the usual signed vectors and signed covectors, and in the case of ordinary matroids, they are essentially the unions of circuits resp. unions of cocircuits. In the case of matroids over a field F, the F-covector set resp. F-vector set of an F-matroid is a linear subspace of F-E resp. its orthogonal complement. (C) 2018 Elsevier Inc. All rights reserved.

【 授权许可】

Free