On quasiidenties of torsion free nilpotent loops
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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

On quasiidenties of torsion free nilpotent loops

Pag. 45-50

Kowalski A.
 
"Ion Creangă" State Pedagogical University from Chisinau
 
 
Disponibil în IBN: 6 decembrie 2013


Rezumat

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.

Cuvinte-cheie
quasigroup, loop,

quasiidentities, basis of quasiidentities, independent basis