Free groupoids with x^{2}x^{2}=x^{3}x^{3}

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DC Field	Value	Language
dc.contributor.author	Celakoska-Jordanova, Vesna	en_US
dc.date.accessioned	2019-05-02T06:09:21Z	-
dc.date.available	2019-05-02T06:09:21Z	-
dc.date.issued	2004	-
dc.identifier.uri	http://hdl.handle.net/20.500.12188/2032	-
dc.description.abstract	A description of free objects in the variety V of groupoids defined by the identity x^{2}x^{2}=x^{3}x^{3} is obtained. The following method is used: one of the sides of the identity is considered as "suitable" and the other as "unsuitable" one. First, the left-hand side x^{2}x^{2}is chosen as "suitable" and the set of elements of F (F being an absolutely free groupoid with a basis B) containing no parts that have the form x^{3}x^{3} is taken as a "candidate" for the carrier of the desired free object in V. Continuing this procedure, a V-free object is obtained. Another construction of V-free object is obtained by choosing the right-hand side x^{3}x^{3} as "suitable" one.	en_US
dc.language.iso	en	en_US
dc.publisher	Faculty of Natural Sciences and Mathematics, Skopje	en_US
dc.relation	Free algebraic structures, Macedonian Academy of Sciences and Arts	en_US
dc.relation.ispartof	Mathematica Macedonica	en_US
dc.subject	groupoid, variety, free groupoid	en_US
dc.title	Free groupoids with x^{2}x^{2}=x^{3}x^{3}	en_US
dc.type	Article	en_US
item.grantfulltext	open	-
item.fulltext	With Fulltext	-
Appears in Collections:	Faculty of Natural Sciences and Mathematics: Journal Articles