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- W1989866125 abstract "A fraction-dense (semi-prime) commutative ring A with 1 is one for which the classical quotient ring is rigid in its maximal quotient ring. The fraction-dense f-rings are characterized as those for which the space of minimal prime ideals is compact and externally disconnected. For Archimedean lattice-ordered groups with this property it is shown that the Dedekind and order completion coincide. Fraction-dense spaces are defined as those for which C(X) is fraction-dense. If X is compact, then this notion is equivalent to the coincidence of the absolute of X and its quasi-F cover.Key wordscommutative ringfraction-dense ringfraction dense space" @default.
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- W1989866125 date "1992-01-01" @default.
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- W1989866125 title "Fraction-Dense Algebras and Spaces" @default.
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- W1989866125 doi "https://doi.org/10.1007/978-94-017-2721-1_6" @default.
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