EMIS ELibM Electronic Journals PUBLICATIONS DE L'INSTITUT MATHÉMATIQUE (BEOGRAD) (N.S.)
Vol. 57(71) (dedicated to Djuro Kurepa), pp. 147--154 (1995)

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Free objects in primitive varieties of $n$-groupoids

G. Cupona, S. Markovski

Prirodno-matemati\v cki fakultet, Skopje, Macedonia

Abstract: 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

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Electronic fulltext finalized on: 1 Nov 2001. This page was last modified: 16 Nov 2001.

© 2001 Mathematical Institute of the Serbian Academy of Science and Arts
© 2001 ELibM for the EMIS Electronic Edition