Closure formula for ideals in intermediate rings

John Paul Jala Kharbhih, Sanghita Dutta

Abstract

In this paper, we prove that the closure formula for ideals in C(X) under m topology holds in intermediate ring also, i.e. for any ideal I in an intermediate ring with m topology, its closure is the intersection of all the maximal ideals containing I.


Keywords

m topology; rings of continuous functions; β-ideals

Subject classification

46E25; 54C30; 54C35; 54C40

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References

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Universitat Politècnica de València

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