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

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Наслов:	Free groupoids in the class of power left and right idempotent groupoids
Authors:	Celakoska-Jordanova, Vesna
Keywords:	groupoid, subgroupoid, groupoid power, variety of groupoids, free groupoid
Issue Date:	2008
Publisher:	Hikari, Ltd.
Journal:	International Journal of Algebra
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.
URI:	http://hdl.handle.net/20.500.12188/2031
Appears in Collections:	Faculty of Natural Sciences and Mathematics: Journal Articles