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MATH 4222 - Modern Algebra IIFundamental 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. Requisites: MATH 4221 Credit Hours: 3.0 Repeat/Retake Information: May be retaken two times excluding withdrawals, but only last course taken counts. Lecture/Lab Hours: 3.0 lecture Eligible grades: A-F,WP,WF,FN,FS,AU,I |
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