Colimits of monoids
Category Theory
2018-07-03 v1
Abstract
If is a cocomplete monoidal category in which tensoring from both sides preserves coequalizers, then the category of monoids over is cocomplete. The same holds if has regular factorizations and tensoring only preserves regular epimorphisms. As an application a lifting theorem for an adjunction with a monoidal right adjoint to an adjunction between the respective categories of monoids is proved.
Cite
@article{arxiv.1807.00322,
title = {Colimits of monoids},
author = {Hans-E. Porst},
journal= {arXiv preprint arXiv:1807.00322},
year = {2018}
}
Comments
10 pages