On valuation independence and defectless extensions of valued fields
Commutative Algebra
2018-03-28 v1 Logic
Abstract
In this article we further develop the theory of valuation independence and study its relation with classical notions in valuation theory such as immediate and defectless extensions. We use this general theory to settle two open questions regarding vector space defectless extensions of valued fields. Additionally, we provide a characterization of such extensions within various classes of valued fields, extending results of Fran\c{c}oise Delon.
Keywords
Cite
@article{arxiv.1803.09821,
title = {On valuation independence and defectless extensions of valued fields},
author = {Anna Blaszczok and Pablo Cubides Kovacsics and Franz-Viktor Kuhlmann},
journal= {arXiv preprint arXiv:1803.09821},
year = {2018}
}
Comments
20 pages