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- W2343525578 abstract "In this paper, we dene and study the notion of the real-valued functions on a frame L. We show that F ( L ), consisting of all frame homomor- phisms from the power set of R to a frame L , is an f -ring, as a generalization of all functions from a set X into R. Also, we show that F ( L ) is isomorphic to a sub- f -ring of R ( L ), the ring of real-valued continuous functions on L. Furthermore, for every frame L , there exists a Boolean frame B such that F ( L ) is a sub- f -ring of F ( B )." @default.
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- W2343525578 date "2016-07-01" @default.
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- W2343525578 title "The ring of real-valued functions on a frame" @default.
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