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Modularity vs. Separability for Field Extensions

Published online by Cambridge University Press:  20 November 2018

H. F. Kreimer  and
N. Heerema
H. F. Kreimer
Affiliation:
Florida State University, Tallahassee, Florida
N. Heerema
Affiliation:
Florida State University, Tallahassee, Florida
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In this paper we compare the properties separability and modularity for field extensions. Let be fields of characteristic . K is separable over if K and are linearly disjoint over . K is modular over if K and are linearly disjoint over their intersection for all n > 0. The latter definition is due to Sweedler [12] and is important particularly for Galois theories of purely inseparable extensions [2; 3; 4; 7].

Type
Research Article
Information
Canadian Journal of Mathematics , Volume 27 , Issue 5 , 01 October 1975 , pp. 1176 - 1182
Copyright
Copyright © Canadian Mathematical Society 1975

References

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