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Type: Artigo de periódico
Title: Fields With Two Incomparable Henselian Valuation Rings
Author: Engler A.J.
Abstract: Let K be a field and C, C' be two incomparable valuation rings of the separable closure of K, Theorem 1.2 states that the intersection of the decomposition groups of C, C', with respect to K, is precisely the inertia group of the composition ring C·C'. We apply this theorem in the study of two special cases of valued fields (L,B). In the first case, B is henselian and there is a subfield K of L such that L|K is a normal extension and B ∩ K is not henselian. The second case is that in which B has exactly two prolongations in the separable closure of L. We call these rings semihenselian rings, and they are characterized through Theorems 2.6 and 2.12. © 1978 Springer-Verlag.
Editor: Springer-Verlag
Rights: fechado
Identifier DOI: 10.1007/BF01167696
Date Issue: 1978
Appears in Collections:Unicamp - Artigos e Outros Documentos

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