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Characterization of Prime and Maximal Ideals of Product Rings by 𝓕 - lim
Mouadi, Hassan,Karim, Driss Department of Mathematics 2021 Kyungpook mathematical journal Vol.61 No.4
Let {R<sub>i</sub>}<sub>i∈I</sub> be an infinite family of rings and R = ∏<sub>i∈I</sub> R<sub>i</sub> their product. In this paper, we investigate the prime spectrum of R by 𝓕-limits. Special attention is paid to relationship between the elements of Spec(R<sub>i</sub>) and the elements of Spec(∏<sub>i∈I</sub> R<sub>i</sub>) use 𝓕-lim, also we give a new condition so that ∏<sub>i∈I</sub> R<sub>i</sub> is a zero dimensional ring.