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Buletinul Academiei de Ştiinţe a Republicii Moldova. Matematica, 2009, Number 3, Pages 109–117
(Mi basm242)
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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
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
Citation:
Parascovia Syrbu, “On $\pi$-quasigroups isotopic to abelian groups”, Bul. Acad. Ştiinţe Repub. Mold. Mat., 2009, no. 3, 109–117
Linking options:
https://www.mathnet.ru/eng/basm242 https://www.mathnet.ru/eng/basm/y2009/i3/p109
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Abstract page: | 368 | Full-text PDF : | 100 | References: | 56 | First page: | 1 |
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