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All Journal Limits: Journal of Mathematics and Its Applications
Irawati Irawati
Bandung Institute of Technology
Mathematics

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Characterizations of 2-Primal Ternary Semiring using Special Subsets of Ternary Semiring Tuhfatul Janan; Irawati Irawati
Limits: Journal of Mathematics and Its Applications Vol 20, No 1 (2023)
Publisher : Institut Teknologi Sepuluh Nopember

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.12962/limits.v20i1.12965

Abstract

This research aims to determine the characterizations of 2-primal ternary semiring using special subsets of ternary semiring. We use literature review method to achieve these aims. We define O^' (P) and O_P^', the special subsets of ternary semiring then we determine some properties of them. We also determine the condition for O(P) and O_P in order to the special subsets are ideals of S. The last, the special subsets of ternary semiring will be used to determine the characterizations of 2-primal ternary semiring. As the results, some the characterizations were S must be a commutative super nilpotent ternary semiring and O(P)=(O(P) ) ̅ for each prime ideal P of S. Besides that, O(P)=O_P=N(P) and O_P^' must has the IFP for each prime ideal P of S. Keywords: prime ideal; ternary semiring; 2-primal ternary semiring
Co-Authors Tuhfatul Janan