Vectors of matroids over tracts
Combinatorics
2018-07-24 v4 Algebraic Geometry
Rings and Algebras
Abstract
We enrich Baker and Bowler's theory of matroids over tracts with notions of vectors and covectors. In the case of oriented matroids, these -vectors and -covectors coincide with the usual signed vectors and signed covectors. In the case of matroids over a field , the -covector set resp. -vector set of an -matroid is a linear subspace of resp. its orthogonal complement.
Keywords
Cite
@article{arxiv.1607.04868,
title = {Vectors of matroids over tracts},
author = {Laura Anderson},
journal= {arXiv preprint arXiv:1607.04868},
year = {2018}
}
Comments
added mathematica worksheet to verify calculations