N-ARY POLYGROUPS

Document Type: Regular Paper

Authors

1 Department of Mathematics, Yazd University, Yazd, I. R. of Iran

2 Department of Mathematics, University of Pune, Pune, India

Abstract

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.

Keywords