Geodesic
Pure Subfields of Purely Inseparable Field Extensions
Canadian journal of mathematics, Tome 28 (1976) no. 6, pp. 1162-1166

Voir la notice de l'article provenant de la source Cambridge University Press

The notion of pure subgroups is due to Prufer [7]. It has proven extremely useful in establishing structural properties of abelian groups. In a recent paper [9], Waterhouse introduced the concept of a pure subfield of a purely inseparable extension. Let L be a purely inseparable modular extension of k, and let K be an intermediate field. K is called pure if K and k(Lpn) are linearly disjoint over k(Kpn) for all n. Waterhouse used this concept to establish the existence of basic subfields [9]. 
Deveney, James K. Pure Subfields of Purely Inseparable Field Extensions. Canadian journal of mathematics, Tome 28 (1976) no. 6, pp. 1162-1166. doi: 10.4153/CJM-1976-114-9
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