Unions of minimal prime ideals in rings of continuous functions on compact spaces

DOI10.1007/s00012-010-0051-xzbMath1200.54009OpenAlexW1986687231MaRDI QIDQ987182

Swapan Kumar Ghosh, Melvin Henriksen, Bikram Banerjee

Publication date: 13 August 2010

Published in: Algebra Universalis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00012-010-0051-x

zbMATH Keywords

minimal prime idealround setalmost P-spacealmost round setnearly round setUMP pointUMP space

Mathematics Subject Classification ID

Algebraic properties of function spaces in general topology (54C40) Ordered rings (13J25)

Related Items (6)

A closer look at primal and pseudo-irreducible ideals with applications to rings of functions ⋮ Variations of essentiality of ideals in commutative rings ⋮ Depth of ideals of \(C(X)\) ⋮ Fusible rings ⋮ Covering maximal ideals with minimal primes ⋮ Unnamed Item

Cites Work

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• Round \(z\)-filters and round subsets of \(\beta X\)
• Almost-P-Spaces
• The Space of Minimal Prime Ideals of a Commutative Ring

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