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ABSTRACT ALGEBRA

MATH 741
Course Description

Usually a study of finite groups and noncommutative rings. Group theoretic topics may include: permutation groups, Lagrange's theorem, Cauchy's theorem and the Sylow theorems, solvable and nilpotent groups. Ring theoretic topics may include: Artinian rings and modules, the Wedderburn theorems, the Hopkins-Levitzki theorem, the Jacobson radical and density theorem. The basic prerequisite for all advanced graduate courses in algebra. Familiarity with topics in undergraduate algebra (e.g.MATH 541and542) is strongly recommended.

Prerequisties

Graduate/professional standing or member of the Pre-Masters Mathematics (Visiting International) Program

Satisfies

This course does not satisfy any prerequisites.

Credits

3

Offered

Occasionally

Grade Point Average
3.34

-4.68% from Historical

Completion Rate
100%

1.7% from Historical

A Rate
38.24%

-24.79% from Historical

Class Size
34

35.15% from Historical

Instructors (2025 Fall)

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