Graded Almost Prime Ideals over Non-Commutative Graded Rings
Jenan Shtayat, Rashid Abu-Dawwas, Ghadeer Bani Issa
TL;DR
This paper introduces the concept of graded almost prime ideals in non-commutative graded rings and explores conditions under which all graded right ideals are graded almost prime.
Contribution
It defines graded almost prime ideals in non-commutative graded rings and investigates specific cases where all graded right ideals possess this property.
Findings
Characterization of graded almost prime ideals
Conditions for all graded right ideals to be graded almost prime
Examples illustrating the concepts
Abstract
The purpose of this article is to define and examine graded almost prime ideals over a non-commutative graded ring, and consider some cases where all graded right ideals of a non-commutative graded ring are graded almost prime.
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Taxonomy
TopicsRings, Modules, and Algebras · Advanced Topics in Algebra · Global Educational Reforms and Inequalities