Article ID Journal Published Year Pages File Type
4596679 Journal of Pure and Applied Algebra 2012 5 Pages PDF
Abstract

Many categorical axioms assert that a particular canonically defined natural transformation between certain functors is invertible. We give two examples of such axioms where the existence of any natural isomorphism between the functors implies the invertibility of the canonical natural transformation. The first example is distributive categories, the second (semi-)additive ones. We show that each follows from a general result about monoidal functors.

Related Topics
Physical Sciences and Engineering Mathematics Algebra and Number Theory