MATH 324 Algebra II

Symmetries of polynomial equations. Rings and modules. Quotient rings and polynomial rings. Field Extensions. Ruler-and-compass constructions. Euclidean domains, principal ideal domains, unique factorization domains. Finitely generated modules of principal ideal domains. Eisenstein's Criterion. Galois groups. The Fundamental Theorem of Galois Theory. The Unsolvability of the Quintic. Credit units: 3 ECTS Credit units: 5, Prerequisite: MATH 323.

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