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Extension fields to the fundamental theorem of Galois Theory and solvability by radicals. Commutative rings to the Hilbert basis theorem and elements of algebraic varieties.
prereq:MATH 31100 or equivalent and departmental permission Hours3 Credits3 The ring and field theory portion of a three semester group of abstract algebra courses including MATH 72100, 72200 and 72500. This course may be used to satisfy the course requirement for the MA in Pure Mathematics.
