HYPERIDEALS IN M-POLYSYMMETRICAL HYPERRINGS

Document Type : Original Manuscript

Authors

1 Department of Mathematics, Payame Noor University, Tehran, Iran.

2 Department of Mathematics, Yazd University, Yazd, Iran.

Abstract

An M-polysymmetrical hyperring (R,+,⋅) is an algebraic system, where (R,+) is an M-polysymmetrical hypergroup, (R,⋅) is a semigroup and ⋅ 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.

Keywords

Journal of Algebraic Systems
Volume 7, Issue 1
September 2019
Pages 33-50

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