Subject: groupoid, subgroupoid, groupoid power, variety of groupoids, free groupoid

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Year: 2008

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Type: Article

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

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Author: Celakoska-Jordanova, Vesna

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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.

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Publisher: Hikari, Ltd.

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Relation: International Journal of Algebra

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Identifier: oai:repository.ukim.mk:20.500.12188/2031
Identifier: http://hdl.handle.net/20.500.12188/2031

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