MATH 564: ADVANCED ALGEBRA II
Spring 2027 · Section 001 · CRN 20156
This course will cover graduate level 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 additional advanced topics, such as homological algebra, as time permits. Cross-list: MATH 464. Mutually Exclusive: Cannot register for MATH 564 if student has credit for MATH 464.
- Credits
- 3
- Instructors
- Chelsea Walton