Generalizations Of Graded Prime Ideals Over Graded Near Rings

2022/04/24 by Malik Bataineh, Bataineh, Malik, Tamem Al-shorman +3
Mathematics · #FOS: Mathematics #General Mathematics (math.GM) #Rings, Modules, and Algebras

paper · pdf · doi:10.48550/arxiv.2204.10861

openalex publication_date 2022/04/24 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

This paper considers graded near-rings over a monoid G as a generalizations of the graded rings over groups, introduce certain innovative graded weakly prime ideals and graded almost prime ideals as a generalizations of graded prime ideals over graded near-rings, and explore their various properties and their generalizations in graded near-rings.

Related

• Graded Prime Ideals Over Graded Near Ring
• Graded Almost Prime Ideals over Non-Commutative Graded Rings
• Graded Weakly prime Ideals of Non-Commutative Rings
• Graded Weakly 2-Absorbing Ideals over Non-Commutative Rings
• Graded Classical Weakly Prime Submodules over Non-Commutative Graded Rings