2 citations · 2 across the 2 of their papers we have counts for
6 papers
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…
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…
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…
Quasi-prime ideals
Abolfazl Tarizadeh, Mohsen Aghajani
In this paper, the new concept of quasi-prime ideal is introduced which at the same time generalizes the `prime ideal' and `primary ideal' notions. Then a natural topology on the s…
Characterizations of Gelfand rings specially clean rings and their dual rings
Mohsen Aghajani, Abolfazl Tarizadeh
In this paper, new criteria for zero dimensional rings, Gelfand rings, clean rings and mp-rings are given. A new class of rings is introduced and studied, we call them purified rin…
G--Gorenstein modules
Mohsen Aghajani, Hossein Zakeri
Let be a commutative Noetherian ring. In this paper, we study those finitely generated -modules whose Cousin complexes provide Gorenstein injective resolutions. We call such…