When coproducts are biproducts
Category Theory
2016-06-01 v2
Abstract
Among right-closed monoidal categories with finite coproducts, we characterise those with finite biproducts as being precisely those in which the initial object and the coproduct of the unit with itself admit right duals. This generalises Houston's result that any compact closed category with finite coproducts admits biproducts.
Keywords
Cite
@article{arxiv.1505.01669,
title = {When coproducts are biproducts},
author = {Richard Garner and Daniel Schäppi},
journal= {arXiv preprint arXiv:1505.01669},
year = {2016}
}
Comments
4 pages; final journal version