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Matematicheskie Zametki, 1969, Volume 5, Issue 5, Pages 545–551 (Mi mzm6866)  
Polyvarieties

N. R. Brumberg

M. V. Lomonosov Moscow State University
Full-text PDF (602 kB)
Abstract: In connection with the notion of a polyidentity, introduced by O. N. Golovin, we introduce the notion of the polyvariety of groups and we generalize Birkhoff's theorem on varieties of groups for the case of polyvarieties. We also present several examples of polyvarieties of groups.
Received: 23.05.1968
English version:
Mathematical Notes, 1969, Volume 5, Issue 5, Pages 328–331
DOI: https://doi.org/10.1007/BF01112180
Bibliographic databases:
UDC: 512.4
Language: Russian
Citation: N. R. Brumberg, “Polyvarieties”, Mat. Zametki, 5:5 (1969), 545–551; Math. Notes, 5:5 (1969), 328–331
Citation in format AMSBIB
\Bibitem{Bru69}
\by N.~R.~Brumberg
\paper Polyvarieties
\jour Mat. Zametki
\yr 1969
\vol 5
\issue 5
\pages 545--551
\mathnet{http://mi.mathnet.ru/mzm6866}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=251110}
\zmath{https://zbmath.org/?q=an:0192.34703}
\transl
\jour Math. Notes
\yr 1969
\vol 5
\issue 5
\pages 328--331
\crossref{https://doi.org/10.1007/BF01112180}
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