Year: 2020
Type: article
Abstract: We consider two overlapping classes of fields, IAC and VAC, which are defined using valuation theory but which do not involve a distinguished valuation. Rather, each class is defined by a condition that quantifies over all possible valuations on the field. In his thesis, Hong asked whether these two classes are equal. In this paper, we give an example that negatively answers Hong’s question. We also explore several situations in which the equivalence does hold with an additional assumption, including the case where every K′≡K is IAC.
Source: Illinois Journal of Mathematics
Author: Peter Sinclair
Institution: Douglas College
Language: English
Subfield: Geometry and Topology
Field: Mathematics
Domain: Physical Sciences
Open Access status: green
OpenAlex ID: W2912237307