@article { author = {GHADIRI, M. and WAPHARE, B. N.}, title = {N-ARY POLYGROUPS}, journal = {Iranian Journal of Science}, volume = {33}, number = {2}, pages = {145-158}, year = {2009}, publisher = {Springer}, issn = {2731-8095}, eissn = {2731-8109}, doi = {10.22099/ijsts.2009.2210}, 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.}, keywords = {n-ary polygroup,n-ary normal subploygroup,isomorphism theorem,fundamental relation}, url = {https://ijsts.shirazu.ac.ir/article_2210.html}, eprint = {https://ijsts.shirazu.ac.ir/article_2210_33be221c3bf789b5deb0c97fadd69fe8.pdf} }