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.