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G del Practice online or make a printable study sheet.
I found several solution manual but none has solutions for Chapters 68 and 69 (Field extensions and Galois theory respectively)If anyone is interested, I made a full solution manual for Chapter 68 - Field Theory.
The problem asks to prove that the degree n of an irreducible polynomial f(x) divides the degree of an irreducible factor of the composite f(g(x)), but the proof purports to show the opposite, that m divides n.
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I bought the third edition of Abstract Algebra by Dummit and Foote.
Walk through homework problems step-by-step from beginning to end.
Otherwise, everything is okay In my opinion this is the best algebra book that has been written.
The problem is that \alpha and \g(\alpha) have gotten switched around in the final line.