ple 51.4, coIcfude by a degree arguent tha reducible over Z (f) where ↑ 11. Prove that if E is an algebraic extension of a perfect field F, then E is perfect.T coxtencion E of a field is a senarable extension of F if for ever

Advanced Engineering Mathematics
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ISBN:9780470458365
Author:Erwin Kreyszig
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Chapter2: Second-order Linear Odes
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Section 51 number 11
[Hint: Use Theorem 51.9 amdits corotlary.
+B, aß, and a/B, if B #0, are all separ:
10. Show that (t, y,
ple S1.4, conclude by a degree argument tha
is a basis for Z„(y) over Zpty*where y is an indeterminate. Refen
reducible over /.(f), where t
11. Prove that if E is an algebraic extension of a perfect field F, then E is perfect.
olgobroio extension E of a field E is a senarable extension of F if for ever
'1.1.
Transcribed Image Text:[Hint: Use Theorem 51.9 amdits corotlary. +B, aß, and a/B, if B #0, are all separ: 10. Show that (t, y, ple S1.4, conclude by a degree argument tha is a basis for Z„(y) over Zpty*where y is an indeterminate. Refen reducible over /.(f), where t 11. Prove that if E is an algebraic extension of a perfect field F, then E is perfect. olgobroio extension E of a field E is a senarable extension of F if for ever '1.1.
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