For each m > 1 let Z m = {0, 1, 2, . . . ,m

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For each m > 1 let Zm = {0, 1, 2, . . . ,m − 1}, and let Fm = (Zm,+,×) be the model whose universe is Zm and that has relations corresponding to the + and × relations computed modulo m. Show that for each m, the theory Th(Fm) is decidable.

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