Bulgarian Academy of Sciences - National Committee for Mathematics
Mathematica Balkanica New Series, Vol. 24, Fasc 3-4 (2010), 341p-349p
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