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math.AC2018★ 1 cited
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…
math.AC2018
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…