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Enriched categories, topoi, abelian categories, monoidal categories, homological algebra.

8 votes
2 answers
239 views

(When) does a morphism of monad induce adjoint functors between categories of algebras?

For monads $S$ and $T$ on a fixed Abelian category $C$, a morphism of monads $\sigma: S\rightarrow T$ induces a functor between Eilenberg-Moore categories $\sigma^*:C^T\rightarrow C^S$. This functor s …