Volume 33 • Number 3 • 2010   • Isomorphism Theorems of Polygroups B. Davvaz Abstract. A polygroup is a multivalued algebraic system satisfying the group like axioms. In recently, polygroups have been investigated by a number of authors because such groups are related to algebraic combinatorics, color schemes and relations, etc. In this paper, three isomorphism theorems of polygroups will be established and the Fundamental homomorphism theorem of polygroups is also proved. Our results generalize the classical isomorphism theorems of groups to polygroups. 2010 Mathematics Subject Classification: 20N20. Full text: PDF