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Mathematics of the USSR-Izvestiya, 1972, Volume 6, Issue 2, Pages 381–394
DOI: https://doi.org/10.1070/IM1972v006n02ABEH001878 (Mi im2301) 		 
This article is cited in 1 scientific paper (total in 1 paper)

Functor categories over a variety of universal algebras

E. G. Shul'geifer
English version PDF (724 kB) Citations (1)
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DOI: https://doi.org/10.1070/IM1972v006n02ABEH001878
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.
Received: 14.05.1971
Russian version:
Izvestiya Akademii Nauk SSSR. Seriya Matematicheskaya, 1972, Volume 36, Issue 2, Pages 386–400
Bibliographic databases:
UDC: 512.9
MSC: Primary 18C05; Secondary 08A15
Language: English
Original paper language: Russian
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/im2301}
\mathscinet{http://mathscinet.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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  • https://www.mathnet.ru/eng/im/v36/i2/p386
    • This publication is cited in the following 1 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Известия Академии наук СССР. Серия математическая Izvestiya: Mathematics
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    Abstract page:247
    Russian version PDF:75
    English version PDF:12
    References:45
    First page:1
     
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