Some Special Refined Neutrosophic Ideals in Refined Neutrosophic Rings: A Proof-of-Concept Study
Journal Title: Neutrosophic Systems with Applications - Year 2024, Vol 13, Issue 1
Abstract
In this research, we created notions of a refined neutrosophic prime (completely prime, semiprime, and completely semiprime) ideal in a refined neutrosophic ring. If R(I1, I2) is a refined neutrosophic ring, then each ideal of R(I1, I2) has the form J+KI1+LI2 are ideals of the classical ring R. The objective of this work is to find the necessary and sufficient condition on classical ideals J, L and K that makes J+KI1+LI2 a prime (completely prime, semiprime, and completely semiprime) ideal in R(I1, I2). We studied some of the elementary properties of these concepts and the most important properties that link them.
Authors and Affiliations
Murhaf Riad Alabdullah
Keywords
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- EP ID EP729600
- DOI https://doi.org/10.61356/j.nswa.2024.96
- Views 42
- Downloads 1
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