Immediate extensions of valuation rings and ultrapowers

Abstract

We describe the immediate extensions of a one dimensional valuation ring $V$ which could be embedded in some separation of a ultrapower of $V$ with respect to a certain ultrafilter. For such extensions holds a kind of Artin's approximation.

arXiv commentIn this form will appear in Mathematical Reports

References in corpus (1)

• An extension of Greenberg's theorem to general valuation rings