\(\omega_ 0\)-generated field extensions
type: Item
instance of: scholarly article
title: \(\omega_ 0\)-generated field extensions
zbMATH Open document ID: 0586.12018
DOI: 10.1007/BF01189980
author: James K. Deveney
published in: Archiv der Mathematik
publication date: 1986-01-01T00:00:00Z
review text: Let \(L\supset K\) be fields of characteristic \(p\neq 0\). L is \(\omega_ 0\)-generated over K if L is infinite-dimensional over K and yet every proper intermediate field is finite dimensional over K. This paper presents an example \(L\supset K\) of an \(\omega_ 0\)-generated purely inseparable field extension where \([K^{p^{-n}}\cap L: K]=p^{2n}\) for all n.
Mathematics Subject Classification ID: 12F15
zbMATH DE Number: 3939460
zbMATH Keywords: purely inseparable field extension
MaRDI profile type: Publication
cites work: An Intermediate Theory for a Purely Inseparable Galois Theory
cites work: Structure of arbitrary purely inseparable extension fields
cites work: Structure of inseparable extensions
cites work: Iterative higher derivations in fields of prime characteristics
description: scientific article; zbMATH DE number 3939460