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Buletinul Academiei de Ştiinţe a Republicii Moldova. Matematica, 2010, Number 3, Pages 45–50
(Mi basm269)
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Research articles
On quasiidenties of torsion free nilpotent loops
Alexandru Covalschi State Pedagogical University "Ion Creangă",
Chisinău, Moldova
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
Citation:
Alexandru Covalschi, “On quasiidenties of torsion free nilpotent loops”, Bul. Acad. Ştiinţe Repub. Mold. Mat., 2010, no. 3, 45–50
Linking options:
https://www.mathnet.ru/eng/basm269 https://www.mathnet.ru/eng/basm/y2010/i3/p45
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Statistics & downloads: |
Abstract page: | 172 | Full-text PDF : | 40 | References: | 50 | First page: | 1 |
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