RO  EN
IMI/Publicaţii/BASM/Ediţii/BASM n.3 (64), 2010/

On quasiidenties of torsion free nilpotent loops

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.

Fulltext

Adobe PDF document0.11 Mb