MATH 413B - Introduction to Modern Algebra

(spring) Fundamental theorem on finite abelian groups and its consequences. Cauchy theorem and first Sylow theorem. Polynomial rings. UFD and Euclidean domains. Maximal ideals. Algebraic extensions and splitting fields. Fundamental theorem of Galois theory.
Repeat/Retake Information: May be retaken 4 times excluding withdrawals, but only last course taken counts.

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