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Real fields and repeated radical extensions

By I. M. Isaacs and David Petrie Moulton

Abstract

The main result of this paper is that if E is a field extension of finite odd degree over a real field Q, and if E is a repeated radical extension of Q, then every intermediate field is also a repeated radical extension of Q. This paper also contains a number of other results about repeated radical extensions

Topics: Mathematics - Number Theory, Mathematics - Commutative Algebra, Mathematics - Rings and Algebras
Year: 1997
OAI identifier: oai:arXiv.org:math/9702232

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