Adjunction in Monoids

Details Adjunction in Monoids Adjunction in Monoids

2005-04-04

arxiv.org/abs/math/0504060v1

Mathematics

Rings and Algebras

11 pages

Scientific paper

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".

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