On a variety of groupoids of rank 1

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Наслов:	On a variety of groupoids of rank 1
Authors:	Chupona, Gjorgji Celakoska-Jordanova, Vesna
Keywords:	Free groupoids, injective groupoids, subgroupoids
Issue Date:	2003
Publisher:	Union of Mathematicians of Macedonia
Проект:	Free algebraic structures (2000-2002) - Macedonian Academy of Sciences and Arts
Journal:	Proceed. of the II Congress of Math. and Inf. of Macedonia, Оhrid 2000
Conference:	Second Congress of Math. and Inf. of Macedonia, Ohrid 2000
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.
URI:	http://hdl.handle.net/20.500.12188/1936
Appears in Collections:	Faculty of Natural Sciences and Mathematics: Conference papers