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On Algebraically Maximal Valued Fields and Defectless Extensions

✍ Scribed by Khanduja, Sudesh K.; Bishnoi, Anuj

Book ID
115440473
Publisher
Canadian Mathematical Society
Year
2012
Tongue
English
Weight
149 KB
Volume
55
Category
Article
ISSN
0008-4395

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We itre concerned with existence of extensions of positive linear operators be-I t v w i i ordered vector spaces which take maximal possible values on a given set of \wit ors. We eatablish a criterion (Theorem) which partially generalizes a similar twiilt of [2] about positive additive set functions

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## Abstract The theory of algebraically closed non‐Archimedean valued fields is proved to eliminate quantifiers in an analytic language similar to the one used by Cluckers, Lipshitz, and Robinson. The proof makes use of a uniform parameterized normalization theorem which is also proved in this pape