Article ID Journal Published Year Pages File Type
6415819 Journal of Pure and Applied Algebra 2016 12 Pages PDF
Abstract

In this paper we affirmatively answer a question posed by F.-V. Kuhlmann. We show that the first Artin-Schreier defect extension in Cutkosky and Piltant's counter-example to strong monomialization is a dependent extension. Our main tool is the use of generating sequences of valuations.

Related Topics
Physical Sciences and Engineering Mathematics Algebra and Number Theory
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