2 citations · 3 across the 5 of their papers we have counts for
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math.AC2020★ 2 cited
N-pure ideals and mid rings
Mohsen Aghajani
In this paper, we introduce the concept of N-pure ideal as a generalization of pure ideal. Using this concept, a new and interesting type of rings is presented, we call it mid ring…
math.AC2020
Structural results on harmonic rings and lessened rings
Abolfazl Tarizadeh, Mohsen Aghajani
In this paper, a combination of algebraic and topological methods are applied to obtain new and structural results on harmonic rings. Especially, it is shown that if a Gelfand ring…
math.AC2020
On purely-prime ideals with applications
Abolfazl Tarizadeh, Mohsen Aghajani
In this paper, new algebraic and topological results on purely-prime ideals of a commutative ring (pure spectrum) are obtained. Especially, Grothendieck type theorem is obtained wh…