DOI QR코드

DOI QR Code

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)
  • 투고 : 2021.02.02
  • 심사 : 2021.07.12
  • 발행 : 2021.12.31

초록

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.

키워드

과제정보

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

참고문헌

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