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Uniqueness of Subfields
Published online by Cambridge University Press: 20 November 2018
Abstract
Let L be a finitely generated field extension of a field K. The order of inseparability of L/K is the minimum of {n|[L:S] = pn where S is a separable extension of K}. If V is a subfield of L/K, then its order of inseparability is less than or equal to that of L/K. This paper examines the question of when there are unique minimal subfields of order of inseparability n — j, 0 ≤ j ≤ n.
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- Copyright © Canadian Mathematical Society 1986
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