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Izv. Akad. Nauk SSSR Ser. Mat., 1972, Volume 36, Issue 2, Pages 386–400 (Mi izv2301)  

This article is cited in 1 scientific paper (total 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.

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

Bibliographic databases:

UDC: 512.9
MSC: Primary 18C05; Secondary 08A15
Received: 14.05.1971

Citation: E. G. Shul'geifer, “Functor categories over a variety of universal algebras”, Izv. Akad. Nauk SSSR Ser. Mat., 36:2 (1972), 386–400; Math. USSR-Izv., 6:2 (1972), 381–394

Citation in format AMSBIB
\Bibitem{Shu72}
\by E.~G.~Shul'geifer
\paper Functor categories over a~variety of universal algebras
\jour Izv. Akad. Nauk SSSR Ser. Mat.
\yr 1972
\vol 36
\issue 2
\pages 386--400
\mathnet{http://mi.mathnet.ru/izv2301}
\mathscinet{http://www.ams.org/mathscinet-getitem?mr=301071}
\zmath{https://zbmath.org/?q=an:0251.18003}
\transl
\jour Math. USSR-Izv.
\yr 1972
\vol 6
\issue 2
\pages 381--394
\crossref{https://doi.org/10.1070/IM1972v006n02ABEH001878}


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    Citing articles on Google Scholar: Russian citations, English citations
    Related articles on Google Scholar: Russian articles, English articles

    This publication is cited in the following articles:
    1. S. V. Polin, “On the homological classification of small categories”, Math. USSR-Sb., 22:3 (1974), 386–409  mathnet  crossref  mathscinet  zmath
  • Известия Академии наук СССР. Серия математическая Izvestiya: Mathematics
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