3 citations · 9 across the 30 of their papers we have counts for
4 papers · 1 filter
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…
Structural results on lifting, orthogonality and finiteness of idempotents
Abolfazl Tarizadeh, Pramod K. Sharma
In this paper, using the canonical correspondence between the idempotents and clopens, we obtain several new results on lifting idempotents. The Zariski clopens of the maximal spec…
Notes on finitely generated flat modules
Abolfazl Tarizadeh
In this article, the projectivity of finitely generated flat modules of a commutative ring are studied from a topological point of view. Then various interesting results are obtain…
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…