On a variety of groupoids of rank 1
Journal
Proceed. of the II Congress of Math. and Inf. of Macedonia, Оhrid 2000
Date Issued
2003
Author(s)
Chupona, Gjorgji
Celakoska-Jordanova, Vesna
Abstract
A canonical description of free objects in the variety V of groupoids defined by the identity xx^{2}=x^{2}x^{2} is given. Injective groupoids in V and subgroupoids of free groupoids are considered. It is shown that the class of free groupoids in V is a proper subclass of the class of injective groupoids in V and that both classes are hereditary.
Subjects
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