Limits: Journal of Mathematics and Its Applications
Vol. 20 No. 1 (2023): Limits: Journal of Mathematics and Its Applications Volume 20 Nomor 1 Edisi Ma

Characterizations of 2-Primal Ternary Semiring using Special Subsets of Ternary Semiring

Tuhfatul Janan (Unknown)
Irawati (Unknown)



Article Info

Publish Date
15 Mar 2023

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) ) or 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.

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Journal Info

Abbrev

limits

Publisher

Subject

Computer Science & IT Mathematics

Description

Limits: Journal of Mathematics and Its Applications merupakan jurnal yang diterbitkan oleh Pusat Publikasi Ilmiah LPPM Institut Teknologi Sepuluh Nopember, Surabaya, Indonesia. Limits menerima makalah hasil riset di semua bidang Matematika, terutama bidang Analisis, Aljabar, Pemodelan Matematika, ...