MAT 731 - Rings and Modules

College of Arts and Sciences
3 credit(s) At least 1x fall or spring

Submodules, factor modules, chain conditions, Hilbert basis theorem, division rings, Schur’s lemma, Jacobson density theorem, semi-simple modules, socles, Jacobson radical, semi primitive rings, Artin-Wedderburn theorem, integral extensions, completions, localization.
PREREQ (MAT 631 AND MAT 632) OR GRADUATE STANDING IN MATHEMATICAL SCIENCES