Free groupoids in the class of power left and right idempotent groupoids

Journal
International Journal of Algebra
Date Issued
2008
Author(s)
Celakoska-Jordanova, Vesna
Abstract
The subject of this paper is the class of groupoids such that any
groupoid G = (G, ·) of this class has the property: every subgroupoid of
G generated by any element a ∈ G satisfies the identity (xx)(yy) = xy.
It is shown that this class is a variety. A construction and a characterization
of free groupoids in this variety are obtained. The word problem
is solvable for this variety.
Subjects

groupoid, subgroupoid...

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