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Ring ideals and the Stone-Čech compactification in pointfree topology Vrije Universiteit Brussel
This paper shows that the compact completely regular coreflection in the category of frames is given by the frame of Jacobson radical ideals of the ring View the MathML source of real-valued continuous functions on L, as an alternative to its familiar representations in terms of (i) the l-ideals of View the MathML source as lattice-ordered ring or (ii) the ideals of the bounded part of View the MathML source which are closed in the usual uniform ...