Integral Stone Rings |
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Authors: | Email author" target="_blank">B?BanaschewskiEmail author |
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Institution: | (1) Department of Mathematics and Statistics, McMaster University, 1280 Main Street West, Hamilton, Ontario, L8S 4K1, Canada |
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Abstract: | It is shown that certain partially ordered rings, defined by some of the properties of the totally ordered ring of integers,
are exactly the bounded Z-rings, that is, the commutative f-rings with strong singular unit. The partially ordered rings in question amount to a discrete version of the rings introduced
by M.H. Stone for his abstract characterization of the rings of real-valued continuous functions on compact Hausdorff spaces,
and the function rings they correspond to are given by the integer-valued continuous functions on Boolean spaces. |
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Keywords: | 06F25 13J25 |
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