Geodesic
Functor categories over a~variety of universal algebras
Izvestiya. Mathematics , Tome 6 (1972) no. 2, pp. 381-394.

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It is proved that the category of functors from a category with finitely many objects to a variety of universal algebras is itself equivalent to a variety of universal algebras. A more detailed examination is made for the case of functors into a category of modules; this leads to the notion of a category ring, and some properties of such rings are established. 
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E. G. Shul'geifer. Functor categories over a~variety of universal algebras. Izvestiya. Mathematics , Tome 6 (1972) no. 2, pp. 381-394. http://geodesic.mathdoc.fr/item/IM2_1972_6_2_a3/

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