Let K be an algebraic extension of a field F and p:F\rightarrow{}L an embedding of F into an algebraically closed field. Then there exists an extension of p to an embedding of K into L. If K is algebriacally closed and L is algebraic over p(F), then any such extension of p is an isomorphsim of K into L.

Let K be an algebraic extension of a field F and p:F\rightarrow{}L an embedding of F into an algebraically closed field. Then there exists an extension of p to an embedding of K into L. If K is algebriacally closed and L is algebraic over p(F), then any such extension of p is an isomorphsim of K into L.

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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