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All Journal JURNAL MATEMATIKA STATISTIKA DAN KOMPUTASI Informatika Mulawarman
Andi Muhammad Anwar
Universitas Hasanuddin
Computer Science & IT Mathematics

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Journal : JURNAL MATEMATIKA STATISTIKA DAN KOMPUTASI

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Prime Ideals in Matrices over Γ-Semihyperrings Andi Muhammad Anwar; Andi Muhammad Amil Siddik; Ainun Mawaddah Abdal
Jurnal Matematika, Statistika dan Komputasi Vol. 17 No. 1 (2020): JMSK, SEPTEMBER, 2020
Publisher : Department of Mathematics, Hasanuddin University

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.20956/jmsk.v17i1.11066

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.
Jumlah Langsung Subsemimodul Prima Andi Muhammad Anwar; Hanni Garminia; Irawati Irawati
Jurnal Matematika, Statistika dan Komputasi Vol. 18 No. 2 (2022): JANUARY 2022
Publisher : Department of Mathematics, Hasanuddin University

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.20956/j.v18i2.16669

Abstract

Let be a commutative semiring. A semimodule over a semiring is a fully prime semimodule if each proper subsemimodule of is prime. This research aims to investigate the relationship between a direct sum of prime subsemimodules and , , and a fully prime semimodule.
Co-Authors A. Muh. Amil Siddik Ainun Mawaddah Abdal Hanni Garminia Hendra Hendra Irawati Irawati Sitti Nur Azizah Fitriani Akbar Sulfayanti Supri Bin Hj Amir