MATH 200B. Algebra II (4 units)
Link to catalog page: https://catalog.ucsd.edu/courses/MATH.html#math200b
Description
Second course in graduate algebra. Topics may include group actions, Sylow theorems, solvable and nilpotent groups, free groups and presentations, semidirect products, polynomial rings, unique factorization, chain conditions, modules over principal ideal domains, rational and Jordan canonical forms, tensor products, projective and flat modules, Galois theory, solvability by radicals, localization, primary decomposition, Hilbert Nullstellensatz, integral extensions, Dedekind domains, Krull dimension. Prerequisites: MATH 200A. Students who have not completed MATH 200A may enroll with consent of instructor.
Prerequisite courses
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Successor courses
MATH 200B is a prerequisite of the following 1 courses: