Courses: Abstract Algebra II (MATHB304001)
Class Number: 1247
A continuation of Abstract Algebra I. Vector spaces and linear algebra, field extensions, algebraic and transcendental extensions, finite fields, fields of fractions, field automorphisms, the isomorphism extension theorem, splitting fields, separable and inseparable extensions, algebraic closures, and Galois theory. Also, if not covered in Abstract Algebra I: group actions and Sylow theorems, free abelian groups, free groups, PIDs and UFDs. Possible additional topic: finitely generated modules over a PID and canonical forms of matrices. Prerequisite: MATH 303.
Div: II; Approach: Quantitative Methods (QM); Haverford: Natural Science (NA)
Enrollment Limit: 25; Enrollment Criteria: Major/Minor/Concentration;
Fulfills: Class Nbr: 1247 Div: II; QM;