ADVANCED ALGEBRA II

Credit Hours: 3 · Undergraduate Upper-Level

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. Graduate/Undergraduate Equivalency: MATH 564 . Mutually Exclusive: Cannot register for MATH 464 if student has credit for MATH 564 .