TY - JOUR
TI - Constructions of (2,n)-varieties of groupoids for n = 7, 8, 9
AU - Goračinova-Ilieva Lidija
AU - Markovski Smile
JN - Publications de l'Institut Mathematique
PY - 2007
IS - 95
SP - 111
EP - 117
PT- Article
AB- 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.