Back to matchesWe found a matchYour institution may have access to this item. Find your institution then sign in to continue.TitleIMMEDIATE EXTENSIONS OF VALUATION RINGS AND ULTRAPOWERS.AuthorsPOPESCU, DORINAbstractWe 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, a kind of Artin's approximation holds.SubjectsULTRAFILTERS (Mathematics); APPROXIMATION theory; MORPHISMS (Mathematics); STOCHASTIC convergence; SMOOTHNESS of functionsPublicationMathematical Reports, 2023, Vol 25, Issue 3, p505ISSN1582-3067Publication typeArticleDOI10.59277/mrar.2023.25.75.3.505