This article is cited in 1 paper

Functor categories over a variety of universal algebras

E. G. Shul'geifer


Abstract: 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.

UDC: 512.9

MSC: Primary 18C05; Secondary 08A15

Received: 14.05.1971

 English version: Mathematics of the USSR-Izvestiya, 1972, 6:2, 381–394

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