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SM ISO690:2012 KOWALSKI, A.. On quasiidenties of torsion free nilpotent loops. In: Buletinul Academiei de Ştiinţe a Republicii Moldova. Matematica, 2010, nr. 3(64), pp. 45-50. ISSN 1024-7696. |
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Buletinul Academiei de Ştiinţe a Republicii Moldova. Matematica | ||||||
Numărul 3(64) / 2010 / ISSN 1024-7696 /ISSNe 2587-4322 | ||||||
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Pag. 45-50 | ||||||
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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. |
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Cuvinte-cheie quasigroup, loop, quasiidentities, basis of quasiidentities, independent basis |
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