HYPERIDEALS IN M-POLYSYMMETRICAL HYPERRINGS
Publish place: Journal of Algebraic Systems، Vol: 7، Issue: 1
Publish Year: 1398
Type: Journal paper
Language: English
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Document National Code:
JR_JAS-7-1_003
Index date: 9 July 2019
HYPERIDEALS IN M-POLYSYMMETRICAL HYPERRINGS abstract
An 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.
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HYPERIDEALS IN M-POLYSYMMETRICAL HYPERRINGS authors
M. A. Madani
Department of Mathematics, Payame Noor University, Tehran, Iran.
S. Mirvakili
Department of Mathematics, Payame Noor University, Tehran, Iran.
B. Davvaz
Department of Mathematics, Yazd University, Yazd, Iran.