Title of article
HYPERIDEALS IN M-POLYSYMMETRICAL HYPERRINGS
Author/Authors
Madani ، Mohammad Ali - Payame Noor University , Mirvakili ، Saeed - Payame Noor University , Davvaz ، Bijan - Yazd University
Pages
18
From page
33
To page
50
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
M , polysymmetrical hyperring , Hyperideal , Reduced ring
Journal title
Journal of Algebraic Systems
Serial Year
2019
Journal title
Journal of Algebraic Systems
Record number
2461228
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