Document Type: Regular Paper
Department of Mathematics, Yazd University, Yazd, I. R. of Iran
Department of Mathematics, University of Pune, Pune, India
Polygroups are multivalued systems that satisfy group like axioms. In this paper the class of n-ary
polygroups is introduced. The concepts of n-ary normal subpolygroups and strong homomorphisms of n-ary
polygroups are adopted. With respect to these concepts the isomorphism theorems for n-ary polygroups are
stated and proved. Finally, we will consider the fundamental relation * defined on an n-ary polygroup and
prove some results in this respect.