Title of article :
Isomorphism Theorems of Polygroups
Author/Authors :
Davvaz, B. yazd university - Department of Mathematics, يزد, ايران
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.
Keywords :
Polygroup , normal subpolygroup , strong homomorphism , fundamental relation , fundamental group
Journal title :
Bulletin of the Malaysian Mathematical Sciences Society
Journal title :
Bulletin of the Malaysian Mathematical Sciences Society