Graded Prime Ideals Over Graded Near Ring
Malik Bataineh, Tamem Al-Shorman, Eman Al-Kilany
TL;DR
This paper explores the concept of graded prime ideals within graded near-rings, extending the theory of graded rings over groups to a more general algebraic structure.
Contribution
It introduces new types of graded prime ideals and investigates their fundamental properties in the context of graded near-rings.
Findings
Defined innovative graded prime ideals for graded near-rings.
Established basic properties of these graded prime ideals.
Extended the theory of graded rings to near-ring structures.
Abstract
In this paper, we consider graded near-rings over a monoid as a generalizations of graded rings over groups. We introduce certain innovative graded prime ideals and study some of its basic properties over graded near-rings.
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Taxonomy
TopicsRings, Modules, and Algebras · Advanced Topics in Algebra · Innovative Teaching and Learning Methods