Construction of the Lindstrom valuation of an algebraic extension

JOURNAL OF COMBINATORIAL THEORY SERIES A

卷:157

Article

Cartwright, Dustin¹ 

[1] Univ Tennessee, Dept Math, 227 Ayres Hall, Knoxville, TN 37996 USA

关键词: Algebraic matroids;    Valuated matroids;    Field extensions;   

DOI  :  10.1016/j.jcta.2018.03.003

来源: Elsevier

【 摘 要 】

Recently, Bollen, Draisma, and Pendavingh have introduced the Lindstrom valuation on the algebraic matroid of a field extension of characteristic p. Their construction passes through what they call a matroid flock and builds on some of the associated theory of matroid flocks which they develop. In this paper, we give a direct construction of the Lindstrom valuated matroid using the theory of inseparable field extensions. In particular, we give a description of the valuation, the valuated circuits, and the valuated cocircuits. (C) 2018 Elsevier Inc. All rights reserved.

【 授权许可】

Free