The Zeros of an Analytic Function of Arbitrarily Rapid Growth1
نویسنده
چکیده
In case K is a division ring, the set S coincides with the set generated by the perfect squares as used by Szele. This follows easily from the identity xyx = (xy)2(y~1)2y, x, yEK*. If the domain of integrity K is ordered, say K* = P\J( — P), then for an extension L of K the ordering of K can be extended to an ordering of L if and only if TEL*, where T is the additive semigroup in L generated by PE. The proof of this result is much the same as that of the above theorem. This generalizes Theorem 2 of Szele's paper to a domain of integrity.
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