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May 05, 2024
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2016-2017 Graduate Course Catalog [ARCHIVED CATALOG]
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MAT 731 - Rings and ModulesCollege 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
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