Hyperideals in M-polysymmetrical superrings

An M-polysymmetrical superring (S;+; ) is an algebraic system, where (S; +) is an M-polysymmetrical hypergroup, (S; ) is a semihypergroup and is bilat- erally distributive over +. In this paper, we introduce the concept of hyperideals of an M-polysymmetrical superring and by using this concept, we construct an ordinary quo- tient ring. Finally, the fundamental theorem of homomorphism is derived in the context of M-polysymmetrical superrings.

Keywords:

M-polysymmetrical superring , Hyperideal , Reduced ring , Normal homomor- phism