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Buletinul Academiei de Ştiinţe a Republicii Moldova. Matematica, 2005, Number 3, Pages 123–140 (Mi basm142)  
This article is cited in 4 scientific papers (total in 4 papers)

On Bruck-Belousov Problem

Victor Shcherbacov

Institute of Mathematics and Computer Science, Academy of Sciences of Moldova, Chişinău, Moldova
Full-text PDF (199 kB) Citations (4)
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Abstract: In this paper on the language of subgroups of the multiplication group of a quasigroup (of the associated group of a quasigroup) necessary and sufficient conditions of normality of congruences of a left (right) loop are given. These conditions can be considered as a partial answer to the problem posed in books of R. H. Bruck and V. D. Belousov about conditions of normality of all congruences of quasigroups. Results on the regularity of congruences of quasigroups and the behavior of quasigroup congruences by isotopy are given.
Keywords and phrases: Quasigroup, congruence, normal congruence.
Received: 19.08.2005
Bibliographic databases:
MSC: 20N05
Language: English
Citation: Victor Shcherbacov, “On Bruck-Belousov Problem”, Bul. Acad. Ştiinţe Repub. Mold. Mat., 2005, no. 3, 123–140
Citation in format AMSBIB
\Bibitem{Shc05}
\by Victor~Shcherbacov
\paper On Bruck-Belousov Problem
\jour Bul. Acad. \c Stiin\c te Repub. Mold. Mat.
\yr 2005
\issue 3
\pages 123--140
\mathnet{http://mi.mathnet.ru/basm142}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=2225100}
\zmath{https://zbmath.org/?q=an:1106.20053}
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    • This publication is cited in the following 4 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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