Prime Ideals in Matrices over Γ-Semihyperrings
Keywords:Γ-Semihyperring, matrices over Γ-semihyperrings, prime ideal
AbstractThe semihyperring structure is a common form of the hyperring structure with weakening properties. The more general structure is Γ-semihyperring, whose concept is generalized from Γ-semiring. This paper will show that the top matrix Γ-semihyperring is also Γ-semihyperring. The linkage between prime ideal of Γ-semihyperring with prime ideal of a matrix on Γ-semihyperring will also be discussed in this paper.
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