Tensor product of correspondence functors

JOURNAL OF ALGEBRA

卷:558

Article

Bouc, Serge¹  Thevenaz, Jacques² 

[1] Univ Picardie Jules Verne, CNRS, LAMFA, 33 Rue St Leu, F-80039 Amiens 1, France

[2] Ecole Polytech Fed Lausanne, Inst Math, Stn 8, CH-1015 Lausanne, Switzerland

关键词: Finite set;    Correspondence;    Relation;    Functor category;    Tensor product;   

DOI  :  10.1016/j.jalgebra.2020.02.005

来源: Elsevier

【 摘 要 】

As part of the study of correspondence functors, the present paper investigates their tensor product and proves some of its main properties. In particular, the correspondence functor associated to a finite lattice has the structure of a commutative algebra in the tensor category of all correspondence functors and a converse also holds. (C) 2020 Elsevier Inc. All rights reserved.

【 授权许可】

Free