Weakly and completly nilary rings
Omar A. Al-Mallah, Hafed M. Al-Nogashi- Nooman Jarboui
TL;DR
This paper introduces and explores new classes of rings and ideals, specifically completely nilary and weakly nilary types, providing properties and characterizations for these algebraic structures.
Contribution
It defines and studies the properties of completely nilary and weakly nilary rings and ideals, expanding the classification of algebraic structures.
Findings
Characterizations of completely nilary rings and ideals
Properties of weakly nilary ideals
New classifications in ring theory
Abstract
The present paper introduces and studies some new types of rings and ideals such as completely nilary rings ( resp. completely nilary ideals ), weakly nilary ideals. Some properties of each are obtained and some characterizations of each type are given.
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Taxonomy
TopicsRings, Modules, and Algebras · Advanced Algebra and Logic · Fuzzy and Soft Set Theory