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SEPARABLY CLOSED FIELDS AND CONTRACTIVE ORE MODULES

Published online by Cambridge University Press:  22 December 2015

LUC BÉLAIR  and
FRANÇOISE POINT
LUC BÉLAIR
Affiliation:
LUC BÉLAIR DÉPARTEMENT DE MATHÉMATIQUES UNIVERSITÉ DU QUÉBEC-UQAM C.P. 8888 SUCC. CENTRE-VILLE MONTRÉAL QUÉBEC, H3C 3P8 CANADAE-mail: [email protected]
FRANÇOISE POINT
Affiliation:
FRANÇOISE POINT DÉPARTEMENT DE MATHÉMATIQUE (LE PENTAGONE) UNIVERSITÉ DE MONS 20, PLACE DU PARC B-7000 MONS, BELGIUME-mail: [email protected]
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Abstract

We consider valued fields with a distinguished contractive map as valued modules over the Ore ring of difference operators. We prove quantifier elimination for separably closed valued fields with the Frobenius map, in the pure module language augmented with functions yielding components for a p-basis and a chain of subgroups indexed by the valuation group.

Keywords

03C6003C1016D16S3612J10valued modulesseparably closed fieldsquantifier eliminationskewy polynomial rings
Type
Articles
Information
The Journal of Symbolic Logic , Volume 80 , Issue 4 , December 2015 , pp. 1315 - 1338
Copyright
Copyright © The Association for Symbolic Logic 2015 

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