[KSCI] Korea Science Citation Index Service

http://dx.doi.org/10.5666/KMJ.2021.61.4.823

Characterization of Prime and Maximal Ideals of Product Rings by 𝓕 - lim

Mouadi, Hassan (Faculty of Sciences and Technology Mohammedia, University Hassan 2 of Casablanca)
Karim, Driss (Faculty of Sciences and Technology Mohammedia, University Hassan 2 of Casablanca)

Publication Information

Kyungpook Mathematical Journal / v.61, no.4, 2021 , pp. 823-830 More about this Journal

Abstract

Let {R_i}_i∈I be an infinite family of rings and R = ∏_i∈I R_i 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_i) and the elements of Spec(∏_i∈I R_i) use 𝓕-lim, also we give a new condition so that ∏_i∈I R_i is a zero dimensional ring.

Keywords

Infinite product; Ultrafilter; ${\mathcal{F}}-lim$ ; Quasilocal ring; Zero dimensional ring;

Citations & Related Records

Reference

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