Shahrood University of TechnologyJournal of Algebraic Systems2345-51287120190901HYPERIDEALS IN M-POLYSYMMETRICAL HYPERRINGS3350143810.22044/jas.2018.6969.1342ENM. A. MadaniDepartment of Mathematics, Payame Noor University, Tehran, Iran.S. MirvakiliDepartment of Mathematics, Payame Noor University, Tehran, Iran.B. DavvazDepartment of Mathematics, Yazd University, Yazd, Iran.Journal Article20180423An M-polysymmetrical hyperring $(R,+,cdot )$ is an algebraic system, where $(R,+)$ is an M-polysymmetrical hypergroup, $(R,cdot )$ is a semigroup and $cdot$ is bilaterally distributive over $+$. In this paper, we introduce the concept of hyperideals of an M-polysymmetrical hyperring and by using this concept, we construct an ordinary quotient ring. Finally, the fundamental theorem of homomorphism is derived in the context of M-polysymmetrical hyperrings.http://jas.shahroodut.ac.ir/article_1438_b37c329d5e881f5d1d0ab6d53b4ebe5f.pdf