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Uniqueness of Subfields

Published online by Cambridge University Press:  20 November 2018

James K. Deveney  and
John N. Mordeson
James K. Deveney
Affiliation:
Virginia Commonwealth University, Richmond, Virginia
John N. Mordeson
Affiliation:
Creighton University, Omaha, Nebraska
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Abstract

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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.

Keywords

12F15
Type
Research Article
Information
Canadian Mathematical Bulletin , Volume 29 , Issue 2 , 01 June 1986 , pp. 191 - 196
Copyright
Copyright © Canadian Mathematical Society 1986

References

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