Free objects in the variety of groupoids defined by the identity xx^(m)=x(m+1)

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DC Field	Value	Language
dc.contributor.author	Celakoska-Jordanova, Vesna	en_US
dc.date.accessioned	2019-04-19T06:05:49Z	-
dc.date.available	2019-04-19T06:05:49Z	-
dc.date.issued	2007	-
dc.identifier.uri	http://hdl.handle.net/20.500.12188/1967	-
dc.description.abstract	A construction of free objects in the variety V_(m) of groupoids defined by the identity xx^(m)=x^(m+1), where m is a fixed positive integer, and (k) is a transformation of a groupoid G=(G, .), defined by x^(0)=x, x^(k+1)=(x^(k))^2, is given. A class of injective groupoids in V_(m) is defined and a corresponding Bruck theorem for this variety is proved. It is shown that the class of free groupoids in V_(m) is a proper subclass of the class of injective groupoids in V_(m) .	en_US
dc.language.iso	en	en_US
dc.publisher	Faculty of Mathematics and Natural Sciences, South-West University "Neofit Rilsky", Blagoevgrad, Bulgaria	en_US
dc.relation.ispartof	Proc. of the Second Int. Sc. Conf. 6-10.06.2007, FMNS, South-West University "Neofit Rilsky", Blagoevgrad	en_US
dc.subject	groupoid, free groupoid, injective groupoid	en_US
dc.title	Free objects in the variety of groupoids defined by the identity xx^(m)=x(m+1)	en_US
dc.type	Article	en_US
dc.relation.conference	Second International Scientific Conference, 6-10.06.2007, FMNS, South-West University "Neofit Rilsky", Blagoevgrad, Bulgaria	en_US
item.fulltext	With Fulltext	-
item.grantfulltext	open	-
Appears in Collections:	Faculty of Natural Sciences and Mathematics: Conference papers