Factorial rings and principal ideal domains; Noetherian rings and modules, Hilbert basis theorem; field extensions, separable and normal extensions; finite Galois theory; solvable groups and equations, construction by ruler and compass, solution by radicals. Prerequisite : MATH 327. Note: Credit can be obtained in a most one of MATH 328 and 329.
Factorial rings and principal ideal domains; Noetherian rings and modules, Hilbert basis theorem; field extensions, separable and normal extensions; finite Galois theory; solvable groups and equations, construction by ruler and compass, solution by radicals. Prerequisite : MATH 327. Note: Credit can be obtained in a most one of MATH 328 and 329.
