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
Related Articles
- EP ID EP729600
- DOI https://doi.org/10.61356/j.nswa.2024.96
- Views 17
- Downloads 0
Neutrosophic MCDM Methodology for Assessment Risks of Cyber Security in Power Management
Every day, new reports of cyberattacks on interconnected control systems emerge. The vulnerability of their communication mechanism makes similar control systems a target for malicious outsiders. Protecting sensitive dat...
Evaluation of Cyber Insecurities of the Cyber Physical System Supply Chains Using α-Discounting MCDM
Recently, supply chains (SCs) are applying information technology to enable data sharing among suppliers, instant access to information, and complete tracking of products. With more cybersecurity risks present, such as t...
Modeling Metaverse Perceptions for Bolstering Traffic Safety using Novel TrSS-Based OWCM-RAM MCDM Techniques: Purposes and Strategies
The Metaverse has the potential to revolutionize various aspects of human life, including transportation systems. The integration of the Metaverse into intelligent transportation systems has the potential to significantl...
3-Dimensional Quartic Bézier Curve Approximation Model by Using Neutrosophic Approach
In a 3-dimensional data collection process, there exists noise data that cannot be included to visualize the process. Therefore, it is difficult to deal with since fuzzy set and intuitionistic fuzzy set theories did not...
SuperHyperFunction, SuperHyperStructure, Neutrosophic SuperHyperFunction and Neutrosophic SuperHyperStructure: Current understanding and future directions
The n-th PowerSet of a Set {or Pn(S)} better describes our real world, because a system S (which may be a company, institution, association, country, society, set of objects/plants/animals/beings, set of concepts/ideas/p...