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Note on a submonadicity. (English) Zbl 0813.18004

Summary: Internal categories are characterized as certain classes of algebras of a monad.

MSC:

18C20 Eilenberg-Moore and Kleisli constructions for monads
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References:

[1] D. Bourn , The shift functor and the comprehensive factorization for internal groupoids , Cah. Top. Géom. Diff. , 28 ( 3 ) 1987 , 197 - 226 . Numdam | MR 923629 | Zbl 0655.18007 · Zbl 0655.18007
[2] J.W. Duskin , Simplicial method and the interpretation of triple cohomology, Mem . Amer. Soc. , Vol. 3 issue No 2, No 163 ( 1975 ) . MR 393196 | Zbl 0376.18011 · Zbl 0376.18011
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