Hopf algebras for matroids over hyperfields

JOURNAL OF ALGEBRA

卷:556

Article

Eppolito, Christopher¹  Jun, Jaiung²  Szczesny, Matt³ 

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

[2] SUNY Coll New Paltz, Dept Math, New Paltz, NY 12561 USA

[3] Boston Univ, Dept Math & Stat, 111 Cummington Mall, Boston, MA 02215 USA

关键词: Matroid;    Hyperfield;    Matroids over hyperfields;    Hopf algebra;    Minor;    Direct sum;   

DOI  :  10.1016/j.jalgebra.2020.02.042

来源: Elsevier

【 摘 要 】

Recently, M. Baker and N. Bowler introduced the notion of matroids over hyperfields as a unifying theory of various generalizations of matroids. In this paper we generalize the notion of minors and direct sums from ordinary matroids to matroids over hyperfields. Using this we generalize the classical construction of matroid-minor Hopf algebras to the case of matroids over hyperfields. (C) 2020 Elsevier Inc. All rights reserved.

【 授权许可】

Free