MathematicsMATH 202 Algebra III

Module theory: Submodules, quotient modules, module homomorphisms, generators of modules, direct sums, free modules, torsion modules, modules over PIDs, and applications to rational and Jordan canonical forms. Field theory: field extensions, algebraic and transcendental extensions, splitting fields, algebraic closures, separable and normal extensions, the Galois theory, finite fields, Galois theory of polynomials.

Requirements

Prerequisite(s): MATH 201 is recommended as preparation. Enrollment is restricted to graduate students.

Credits

5

Quarter offered

Spring