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Results tagged with lawvere-theory
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user 152679
7
votes
1
answer
77
views
A syntactic characterisation of morphisms of algebraic theories whose induced algebraic func...
Let $f : S \to T$ be a morphism of algebraic theories. Such a morphism induces a monadic functor $f^* : \mathrm{Mod}(T) \to \mathrm{Mod}(S)$ (hence $f^*$ has a left adjoint). We may view $f$ syntactic …
- 10.7k
5
votes
Accepted
Literature about the category of finitary monads
These claims are proven more generally for the category $\mathrm{Mnd}_f(\mathscr A)$ of finitary monads on a locally presentable category $\mathscr A$ in Lack's On the monadicity of finitary monads. ( …
- 10.7k
4
votes
Accepted
Limits and colimits in the category of algebraic theories
Typically, limits of multisorted algebraic theories (by which I mean a pair of a set $S$ and an $S$-sorted algebraic theory $\mathbb F(S) \to L$) are most easily described in terms of their presentati …
- 10.7k