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Buletinul Academiei de Ştiinţe a Republicii Moldova. Matematica, 2009, Number 3, Pages 109–117 (Mi basm242)  
This article is cited in 4 scientific papers (total in 4 papers)

Research articles

On $\pi$-quasigroups isotopic to abelian groups

Parascovia Syrbu

State University of Moldova, Chisinau, Moldova
Full-text PDF (182 kB) Citations (4)
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Abstract: A $\pi$-quasigroup is a quasigroup satisfying one of the seven minimal identities from the V. Belousov's classification given in [1]. Some general results about $\pi$-quasigroups isotopic to groups are obtained by V. Belousov and A. Gwaramija in [1] and [2]. $\pi$-Quasigroups isotopic to abelian groups are investigated in this paper.
Keywords and phrases: $\pi$-quasigroups, $C_3$-quasigroups, parastrophically equivalent identities, minimal identities, V. Belousov's classification, metabelian groups.
Received: 10.09.2009
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Document Type: Article
MSC: 20N05
Language: English
Citation: Parascovia Syrbu, “On $\pi$-quasigroups isotopic to abelian groups”, Bul. Acad. Ştiinţe Repub. Mold. Mat., 2009, no. 3, 109–117
Citation in format AMSBIB
\Bibitem{Syr09}
\by Parascovia~Syrbu
\paper On $\pi$-quasigroups isotopic to abelian groups
\jour Bul. Acad. \c Stiin\c te Repub. Mold. Mat.
\yr 2009
\issue 3
\pages 109--117
\mathnet{http://mi.mathnet.ru/basm242}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=2643160}
\zmath{https://zbmath.org/?q=an:1189.20065}
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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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