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Dec 14, 2025
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MATH 5222 - Modern Algebra II
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.
Requisites: MATH 5221
Credit Hours: 3
Repeat/Retake Information: May not be retaken.
Lecture/Lab Hours: 3.0 lecture
Grades: Eligible Grades: A-F,WP,WF,WN,FN,AU,I
Learning Outcomes:
- Students will enhance their understanding and appreciation of the axiomatic method as well as their familiarity with basic algebraic structures and their ability to write proofs.
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