3 papers
math.AC2026
-Prime and -maximal ideals in trivial ring extensions of commutative rings
Hwankoo Kim, Najib Mahdou, El Houssaine Oubouhou
This paper explores the study of -prime and -maximal ideals in the context of trivial ring extensions . Through counterexamples, we demonstrate that -prime (r…
math.AC2025
On j-Artinian Modules Over Commutative Rings
Dilara Erdemir, Najib Mahdou, El Houssaine Oubouhou +1
Researchers introduced the notion of j-Artinian rings in [3] and obtained significant results concerning this new class of rings. Motivated by their definition and findings, we ext…
math.AC2024
On -Prüfer like conditions
Adam Anebri, Najib Mahdou, El Houssaine Oubouhou
In this paper, we investigate the question of when a -ring is -Prüfer using two types of techniques: first, by analysing the lattice structure of the nonnil ideals of …