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Mohamed Aqalmoun
Department of Mathematics, Higher Normal School, Sidi Mohamed Ben Abdellah University, Fez
Mathematics

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S-Prime Ideals in Principal Domain Mohamed Aqalmoun
Journal of the Indonesian Mathematical Society VOLUME 29 NUMBER 1 (MARCH 2023)
Publisher : IndoMS

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.22342/jims.29.1.1201.93-98

Abstract

Let R be a commutative ring and S be a multiplicative subset of R. The S-prime ideal is a generalization of the concept of prime ideal. In this paper, we completely determine all S-prime and S-maximal idealsof a principal domain. It is shown that the intersection of any descending chain of S-prime ideals in a principal domain is an S-prime ideal, also the S-radical is investigated.
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