Prime Ideals in Matrices over Γ-Semihyperrings

Authors

  • Andi Muhammad Anwar Universitas Hasanuddin
  • Andi Muhammad Amil Siddik Universitas Hasanuddin
  • Ainun Mawaddah Abdal Universitas Hasanuddin

DOI:

https://doi.org/10.20956/jmsk.v17i1.11066

Keywords:

Γ-Semihyperring, matrices over Γ-semihyperrings, prime ideal

Abstract

The 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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References

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Published

2020-08-24

Issue

Section

Research Articles