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Modularity vs. Separability for Field Extensions
Published online by Cambridge University Press: 20 November 2018
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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].
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- Copyright © Canadian Mathematical Society 1975
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