Remarks on P-orderings and simultaneous orderings (Preprint)
نویسنده
چکیده
1 Preliminary definitions Definition 1 (S-Lenstra constant) Let K be a number field, and Z K its ring of integers. Let S be a finite set of valuations of K containing all the infinite valuations. Let L be a maximal subset of Z K such that x, y ∈ L ⇒ x − y ∈ Z if L = {a 0 , a 1 ,. .. , a k }. In fact we will use this second form of the condition. Remark 2 We can assume that if L is such a maximal set, then 0, 1 ∈ L. If L = {a 0 , a 1 ,. .. , a k } then this can be achieved substituting a i by
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