Canonical Objects in Classes of (n, V)-Groupoids

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Наслов:	Canonical Objects in Classes of (n, V)-Groupoids
Authors:	Celakoska-Jordanova, Vesna
Keywords:	groupoid, free groupoid, (n, V)-groupoid, power V-groupoid, free (n, V)-groupoid, injective (n, V)-groupoid
Issue Date:	2010
Publisher:	Bulgarian Academy of Sciences - National Committee for Mathematics
Journal:	Mathematica Balcanica
Abstract:	Free algebras are very important in studying classes of algebras, especially varieties of algebras. Any algebra that belongs to a given variety of algebras can be characterized as a homomorphic image of a free algebra of that variety. Describing free algebras is an important task that can be quite complicated, since there is no general method to resolve this problem. The aim of this work is to investigate classes of groupoids, i.e. algebras with one binary operation, that satisfy certain identities or other conditions, and look for free objects in such classes.
URI:	http://hdl.handle.net/20.500.12188/2030
Appears in Collections:	Faculty of Natural Sciences and Mathematics: Journal Articles