Buletinul Academiei de Ştiinţe a Republicii Moldova. Matematica
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Buletinul Academiei de Ştiinţe a Republicii Moldova. Matematica, 2010, Number 3, Pages 45–50 (Mi basm269)  
Research articles

On quasiidenties of torsion free nilpotent loops

Alexandru Covalschi

State Pedagogical University "Ion Creangă", Chisinău, Moldova
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Abstract: It is proved that any loop which contains an infinite cyclic group and does not contain infinite number of relative prime periodic elements has an infinite and independent basis of quasiidentities. In particular, any torsion free nilpotent loop has an infinite and independent basis of quasiidentities.
Keywords and phrases: quasigroup, loop, quasiidentities, basis of quasiidentities, independent basis, coverage.
Received: 19.11.2010
Bibliographic databases:
Document Type: Article
MSC: 17D05, 20N05
Language: English
Citation: Alexandru Covalschi, “On quasiidenties of torsion free nilpotent loops”, Bul. Acad. Ştiinţe Repub. Mold. Mat., 2010, no. 3, 45–50
Citation in format AMSBIB
\Bibitem{Cov10}
\by Alexandru~Covalschi
\paper On quasiidenties of torsion free nilpotent loops
\jour Bul. Acad. \c Stiin\c te Repub. Mold. Mat.
\yr 2010
\issue 3
\pages 45--50
\mathnet{http://mi.mathnet.ru/basm269}
\mathscinet{https://mathscinet.ams.org/mathscinet-getitem?mr=2791976}
\zmath{https://zbmath.org/?q=an:1231.68227|1247.20072}
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    		Buletinul Academiei de Ştiinţe a Republicii Moldova. Matematica
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