Publications de l'Institut Mathématique, Nouvelle Série Vol. 81(95), pp. 111–117 (2007) 

Constructions of $(2,n)$varieties of groupoids for $n=7,8,9$Lidija GoracinovaIlieva, Smile MarkovskiUniversity "Goce Delcev"Stip, "Ss Cyril and Methodius"SkopjeAbstract: Given positive integer $n>2$, an algebra is said to be a $(2,n)$algebra if any of its subalgebras generated by two distinct elements has $n$ elements. A variety is called a $(2,n)$variety if every algebra in that variety is a $(2,n)$algebra. There are known only $(2,3)$, $(2,4)$ and $(2,5)$varieties of groupoids, and there is no $(2,6)$variety. We present here $(2,n)$varieties of groupoids for $n=7,8,9$. Classification (MSC2000): 03C05; 20N05 Full text of the article: (for faster download, first choose a mirror)
Electronic fulltext finalized on: 20 Feb 2008. This page was last modified: 26 Feb 2008.
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