Closure formula for ideals in intermediate rings

Author:

Kharbhih John Paul Jala,Dutta Sanghita

Abstract

<p>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.</p>

Publisher

Universitat Politecnica de Valencia

Subject

Geometry and Topology

Reference12 articles.

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2. S. K. Acharyya, K. C. Chattopadhyay and D. P. Ghosh, A class of subalgebras of C(X) and the associated compactness, Kyungpook Math. J. 41, no. 2 (2001), 323-324.

3. S. K. Acharyya and D. De, An interesting class of ideals in subalgebras of C(X) containing C*(X), Comment. Math. Univ. Carolin. 48, no. 2 (2007), 273-280.

4. S. K. Acharyya and D. De, Characterization of function rings between C*(X) and C(X), Kyungpook Math. J. 46 (2006), 503-507.

5. H. L. Byun and S. Watson, Prime and maximal ideals in subrings of C(X), Topology and its Applications 40 (1991), 45-62. https://doi.org/10.1016/0166-8641(91)90057-S

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