Advanced Algebra I

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MATH 357 Description: This course will cover graduate level topics in group theory, ring theory, and module theory. Specific topics include the isomorphism theorems for groups, rings, and modules; group actions; solvable and nilpotent groups; Sylow’s theorems; semi-direct products of groups; ideals; rings of fractions; various unique factorization domains; Hilbert’s Basis Theorem; Gröbner Bases; tensor product of modules and universal property; modules over principal ideal domains; and canonical forms. The course will also include an introduction to category theory as time permits. Graduate/Undergraduate Equivalency: MATH 563 . Mutually Exclusive: Cannot register for MATH 463 if student has credit for MATH 563→MATH 463→unlocks 4 courses

4 mapped courses list MATH 463 as a prerequisite. See on the map →

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