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.

MSC: 17D05, 20N05

Received: 19.11.2010

Language: English

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