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VALUED MODULES OVER SKEW POLYNOMIAL RINGS I

Published online by Cambridge University Press:  09 January 2018

GÖNENÇ ONAY
GÖNENÇ ONAY*
Affiliation:
INSTITÜT FÜR MATHEMATISCHE LOGIK UND GRUNDLAGENFORSCHUNG, FACHBEREICH UND INFORMATIK EINSTEINSTRASSE 62, 48149 MÜNSTER, GERMANYE-mail:onay@uni-muenster.de
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Abstract

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.

Keywords

Primary 03C60Secondary 03C1014G1712J2016W8013J15Ore ringsdivisible modulesp-closed fieldsvalued fieldsvalued modulesAx-Kochen and Ershov Theorem
Type
Articles
Information
The Journal of Symbolic Logic , Volume 82 , Issue 4 , December 2017 , pp. 1519 - 1540
Copyright
Copyright © The Association for Symbolic Logic 2017 

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References

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