Irrational ordered groups |
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| Authors: | W. Charles Holland Dwight P. Smith |
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| Affiliation: | (1) Department of Mathematics and Statistics, Bowling Green State University, Bowling, 43403 Green, OH, USA;(2) Present address: Department of Mathematics, Western Illinois University, 61455 Macomb, IL, USA |
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| Abstract: | Binary operations can be defined on the ordered set of irrational numbers so that the result is an ordered group (the order preserved by the operation). However, the resulting ordered group is severely restricted in its group structure and in the structure of its set of convex subgroups. |
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| Keywords: | 06F15 06A15 |
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