Kyungpook Mathematical Journal

Department of Mathematics, Kyungpook National University (경북대학교 자연과학대학 수학과)
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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)
  • Received : 2021.02.02
  • Accepted : 2021.07.12
  • Published : 2021.12.31
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Abstract

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

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Acknowledgement

We would like to thank the referee for his/her useful comments which help to improve the quality of this manuscript.

References

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