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Pure Subfields of Purely Inseparable Field Extensions

Published online by Cambridge University Press:  20 November 2018

James K. Deveney
James K. Deveney*
Affiliation:
Virginia Commonwealth University, Richmond, Virginia
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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].

Type
Research Article
Information
Canadian Journal of Mathematics , Volume 28 , Issue 6 , 01 December 1976 , pp. 1162 - 1166
Copyright
Copyright © Canadian Mathematical Society 1976

References

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