N-ARY POLYGROUPS

Abstract

Polygroups are multivalued systems that satisfy group like axioms. In this paper the class of n-arypolygroups is introduced. The concepts of n-ary normal subpolygroups and strong homomorphisms of n-arypolygroups are adopted. With respect to these concepts the isomorphism theorems for n-ary polygroups arestated and proved. Finally, we will consider the fundamental relation  * defined on an n-ary polygroup andprove some results in this respect.