#### Vol. 306, No. 1, 2020

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Tensor structure for Nori motives

### Luca Barbieri-Viale, Annette Huber and Mike Prest

Vol. 306 (2020), No. 1, 1–30
##### Abstract

We construct a tensor product on Freyd’s universal abelian category $Ab\left(C\right)$ attached to an additive tensor category or a $\otimes$-quiver and establish a universal property. This is used to give an alternative construction for the tensor product on Nori motives.

##### Keywords
Nori motive, tensor category, free abelian category
##### Mathematical Subject Classification 2010
Primary: 14F99
Secondary: 18E10, 18E30, 03C60