VALUED MODULES over SKEW POLYNOMIAL RINGS i

Onay G.

Journal of Symbolic Logic, vol.82, no.4, pp.1519-1540, 2017 (SCI-Expanded) identifier

  • 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.