VALUED MODULES over SKEW POLYNOMIAL RINGS i
Journal of Symbolic Logic, vol.82, no.4, pp.1519-1540, 2017 (SCI-Expanded, Scopus)
- Publication Type: Article / Article
- Volume: 82 Issue: 4
- Publication Date: 2017
- Doi Number: 10.1017/jsl.2017.72
- Journal Name: Journal of Symbolic Logic
- Journal Indexes: Science Citation Index Expanded (SCI-EXPANDED), Scopus
- Page Numbers: pp.1519-1540
- Keywords: Ax-Kochen and Ershov Theorem, divisible modules, Ore rings, p-closed fields, valued fields, valued modules
- Galatasaray University Affiliated: No
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.