SpringerIranian Journal of Science and Technology (Sciences)1028-627633220090611N-ARY POLYGROUPS145158221010.22099/ijsts.2009.2210ENM.GHADIRIDepartment of Mathematics, Yazd University, Yazd, I. R. of IranB. N.WAPHAREDepartment of Mathematics, University of Pune, Pune, IndiaJournal Article20071009Polygroups are multivalued systems that satisfy group like axioms. In this paper the class of n-ary<br />polygroups is introduced. The concepts of n-ary normal subpolygroups and strong homomorphisms of n-ary<br />polygroups are adopted. With respect to these concepts the isomorphism theorems for n-ary polygroups are<br />stated and proved. Finally, we will consider the fundamental relation * defined on an n-ary polygroup and<br />prove some results in this respect.http://ijsts.shirazu.ac.ir/article_2210_33be221c3bf789b5deb0c97fadd69fe8.pdf