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Zapiski Nauchnykh Seminarov POMI, 2005, Volume 325, Pages 225–242 (Mi znsl359)  
This article is cited in 2 scientific papers (total in 2 papers)

$\sigma$-Extensions of discrete multivalued groups

P. V. Yagodovskii

Finance Academy under the Government of the Russian Federation
Full-text PDF (244 kB) Citations (2)
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Abstract: The aim of this paper is to discover new classes of discrete multivalued groups and to find criteria for recognition of coset groups. It is shown in [11] that the set of discrete coset groups with one generator is the union of categories. These categories are indexed by the set of special symmetric graphs. Bearing in mind our aim, we define $\sigma$-extensions of discrete multivalued groups. Our main result is as follows: the construction of $\sigma$-extensions of discrete multivalued groups is equivariant with respect to functors of these categories.
Received: 23.09.2004
English version:
Journal of Mathematical Sciences (New York), 2006, Volume 138, Issue 3, Pages 5753–5761
DOI: https://doi.org/10.1007/s10958-006-0343-z
Bibliographic databases:
UDC: 517.98
Language: Russian
Citation: P. V. Yagodovskii, “$\sigma$-Extensions of discrete multivalued groups”, Representation theory, dynamical systems, combinatorial and algoritmic methods. Part XII, Zap. Nauchn. Sem. POMI, 325, POMI, St. Petersburg, 2005, 225–242; J. Math. Sci. (N. Y.), 138:3 (2006), 5753–5761
Citation in format AMSBIB
\Bibitem{Yag05}
\by P.~V.~Yagodovskii
\paper $\sigma$-Extensions of discrete multivalued groups
\inbook Representation theory, dynamical systems, combinatorial and algoritmic methods. Part~XII
\serial Zap. Nauchn. Sem. POMI
\yr 2005
\vol 325
\pages 225--242
\publ POMI
\publaddr St.~Petersburg
\mathnet{http://mi.mathnet.ru/znsl359}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=2160328}
\zmath{https://zbmath.org/?q=an:1083.20062}
\elib{https://elibrary.ru/item.asp?id=9127002}
\transl
\jour J. Math. Sci. (N. Y.)
\yr 2006
\vol 138
\issue 3
\pages 5753--5761
\crossref{https://doi.org/10.1007/s10958-006-0343-z}
\elib{https://elibrary.ru/item.asp?id=13515724}
\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-33748666619}
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  • https://www.mathnet.ru/eng/znsl/v325/p225
    • This publication is cited in the following 2 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
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