Imaginaries in Real Closed Valued Fields I
نویسنده
چکیده
We investigate the embeddings of the value group and residue field of a real closed valued field A in Aeq via quantifier elimination in a three sorted language. We classify the one types of field elements in a real closed valued field. Finally, we investigate some of the linear structure in Aeq induced by the valuation ring V and introduce the geometric sorts. In a subsequent paper we show that the theory of real closed valued fields has elimination of imaginaries to these geometric sorts.
منابع مشابه
Imaginaries in Real Closed Valued Fields II
The paper shows elimination of imaginaries for real closed valued fields to the geometric sorts which were introduced in the [6]. We also show that this result is in some sense optimal.
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