Adjunction in Monoids
Rings and Algebras
2007-05-23 v1
Abstract
This paper answeres the question posed by E.Manes in his book "Algebraic theories": given monoids M and N considered as categories with a single object, and a morphism f: M --> N of monoids (considered as functor), such that f has an adjoint (left or right), is it true that f is an isomorphism? The answer is "no".
Cite
@article{arxiv.math/0504060,
title = {Adjunction in Monoids},
author = {Vladimir Molotkov},
journal= {arXiv preprint arXiv:math/0504060},
year = {2007}
}
Comments
11 pages