PUBLICATIONS DE L'INSTITUT MATHÉMATIQUE (BEOGRAD) (N.S.) Vol. 57(71) (dedicated to Djuro Kurepa), pp. 147154 (1995) 

Free objects in primitive varieties of $n$groupoidsG. Cupona, S. MarkovskiPrirodnomatemati\v cki fakultet, Skopje, MacedoniaAbstract: A variety of $n$groupoids (i.e\. algebras with one $n$ary operation $f$) is said to be a primitive $n$variety if it is defined by a system of identities of the following form: $$ f(x_{i_1},x_{i_2},\ldots,x_{i_n}) = f(x_{j_1},x_{j_2},\ldots,x_{j_n}) $$ Here we give a convenient description of free objects in primitive $n$varieties, and several properties of free objects are also established. Classification (MSC2000): 11M06 Full text of the article:
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