MATH 413B - Introduction to Modern Algebra

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.
Prerequisites: MATH 413A

Credit Hours: 4
Repeat/Retake Information: May be retaken 4 times excluding withdrawals, but only last course taken counts.

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