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Graduate Algebra Study Notes II-(6)

Key Words: Fields, Galois Theory

Problem: (a)Find an irreducible polynomial f of degree 2 over the field Z_2; use the method to contruct a field of order 8;
(b) If u is algebraic over K(u), for some u in F, then there exists a finite subset U' in U such that u is algebraic over U' .
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