Free objects in the variety of groupoids defined by the identity xf(x) = f(f(x))

Journal
International Journal of Algebra
Date Issued
2012
Author(s)
Celakoska-Jordanova, Vesna
Abstract
Let V_f denote the variety of groupoids defined by the identity xf(x) = f(f(x)), where f is a fixed nontrivial groupoid power. A description of free objects in this variety and their characterization by means of injective groupoids in V_f are obtained.
Subjects

groupoid, groupoid po...

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