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The multiplicative rationals
1987
Journal of Algebra
We are interested in whether the rational numbers, or a number field in general, can be characterized purely multiplicatively. We give such a characterization, of the rational numbers only, but we use an action of S, which is new. We are also interested in characters of the rational numbers; we give an axiomatic treatment of them. We write N* for the set of positive integers, N for the set of nonnegative integers. We write 77, for { 0, 1 }. We will work with four levels of complexity: a
doi:10.1016/0021-8693(87)90179-7
fatcat:afujleg6rjd2jhwuxkw6zt73gq