Mathematics 611 - Algebra I
Fall
2018
01
3.00
Paul Gunnells
M W F 9:05AM 9:55AM
UMass Amherst
76919
Lederle Grad Res Tower Rm 145
gunnells@math.umass.edu
Introduction to groups, rings, and fields. Direct sums and products of groups, cosets, Lagrange's theorem, normal subgroups, quotient groups. Polynomial rings, UFDs and PIDs, division rings. Fields of fractions, GCD and LCM, irreducibility criteria for polynomials. Prime field, characteristic, field extension, finite fields. Some topics from Math 612 included.
Open to Graduate students only.