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Theorem 6. Let K be a field extension of a field F and let o which are algebric over F. Then F (a,, a,., a,) is a finite extension of sion of F.

Theorem 6. Let K be a field extension of a field F and let o which are algebric over F. Then F (a,, a,., a,) is a finite extension of sion of F.

Advanced Engineering Mathematics
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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Theorem 6. Let K be a field extension of a field F and let a,, a,., a, be elements in K which are algebric over F. Then F (a,, a,.., a,) is a finite extension of F and hence an algebric exten- sion of F.
Transcribed Image Text:Theorem 6. Let K be a field extension of a field F and let a,, a,., a, be elements in K which are algebric over F. Then F (a,, a,.., a,) is a finite extension of F and hence an algebric exten- sion of F.
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