VALUED MODULES OVER SKEW POLYNOMIAL RINGS I.

We introduce a notion of valued module which is suitable to study valued fields of positive characteristic. Then we built-up a robust theory of henselianity in the language of valued modules and prove Ax-Kochen Ershov type results.

Detalles Bibliográficos
Publicado en:Journal of Symbolic Logic Vol. 82; no. 4; pp. 1519 - 1541
Autor principal: ONAY, GÖNENÇ
Formato: Artículo
Publicado: Cambridge University Press Dec2017
Materias:
Acceso en línea:Ver este registro en EBSCOhost
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      dt: Dec2017
      vid: 82
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      pub: Cambridge University Press
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        10.1017/jsl.2017.72
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        atl: VALUED MODULES OVER SKEW POLYNOMIAL RINGS I.
      aug:
        au: ONAY, GÖNENÇ
        affil: INSTITÜT FÜR MATHEMATISCHE LOGIK UND GRUNDLAGENFORSCHUNG, FACHBEREICH UND INFORMATIK EINSTEINSTRASSE 62, 48149 MÜNSTER, GERMANY
      su:
        Polynomial rings
        Functional analysis
        Model theory
        Algorithmic randomness
        Applied mathematics
      sug:
        subj:
          Polynomial rings
          Functional analysis
          Model theory
          Algorithmic randomness
          Applied mathematics
      keyword:
        12J20
        13J15
        14G17
        16W80
        Ax-Kochen and Ershov Theorem
        divisible modules
        Ore rings
        p-closed fields
        Primary 03C60
        Secondary 03C10
        valued fields
        valued modules
      ab: We introduce a notion of valued module which is suitable to study valued fields of positive characteristic. Then we built-up a robust theory of henselianity in the language of valued modules and prove Ax-Kochen Ershov type results.
      pubtype: Academic Journal
      doctype: Article
      src: R
    language: English
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