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8 votes
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Monads on Set with trivial algebras

In an earlier post, What is known about the category of monads on Set? … Does anyone know a proof (or a reference to a proof) of this fact--that these are the only two monads on sets having trivial algebras? …
P. Corazza's user avatar
7 votes
0 answers
175 views

Beck's Theorem and the category of endos

Many years ago, Lawvere showed that the forgetful functor $U: \mathbf{Endo}\to \mathbf{Set}$ has a left adjoint $F$ if and only if $\mathbf{Set}$ has a natural numbers object, where $\mathbf{Endo}$ is …
P. Corazza's user avatar