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- W2912237307 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 (Hong, 2013, Question 5.6.8). 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 $K'equiv K$ is IAC." @default.
- W2912237307 created "2019-02-21" @default.
- W2912237307 creator A5019060076 @default.
- W2912237307 date "2019-02-15" @default.
- W2912237307 modified "2023-09-27" @default.
- W2912237307 title "Immediately algebraically closed fields." @default.
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