ABSTRACT ALGEBRA

MATH 742

Course Description

Continuation ofMATH 741. Usually the study of commutative rings and fields. Ring theoretic topics may include: modules over PIDs, Noetherian rings and the Hilbert basis theorem, the Lasker-Noether theorem, the Krull intersection theorem, integrality and the Hilbert Nullstellensatz. Field theoretic topics may include: algebraic extensions, Galois theory, solvability of polynomials and classical constructability problems.

Prerequisties

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

Satisfies

This course does not satisfy any prerequisites.

Credits

Not Reported

Offered

Not Reported

Grade Point Average

3.66

2.26% from Historical

Completion Rate

100%

3.59% from Historical

A Rate

67.74%

3.74% from Historical

Class Size

56.47% from Historical

Instructors (2025 Fall)

Sorted by ratings from Rate My Professors

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