Authors: Alexandru Covalschi
Keywords: Quasigroup, loop, quasiidentities, basis of quasiidentities,
independent basis, coverage
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.
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