MATH 464: ADVANCED ALGEBRA II
Spring 2024 · Section 001 · CRN 20068
This course will cover topics in field theory, Galois theory, and advanced topics in commutative algebra and in multilinear algebra. Specific topics include various algebraic field extensions; fundamental theorem of Galois theory; solvable and radical extensions; transcendental extensions; tensor, symmetric, and exterior algebras; projective, injective, and flat modules; advanced ideal theory; localization; and chain conditions for rings and modules. The course will also include additional advanced topics, such as homological algebra, as time permits. Cross-list: MATH 564. Mutually Exclusive: Cannot register for MATH 464 if student has credit for MATH 564.
- Credits
- 3
- Instructors
- Brandon Levin