Mathematics 611 - Algebra I
Fall
2019
01
3.00
Paul Hacking
M W F 12:20PM 1:10PM
UMass Amherst
30279
Lederle Grad Res Tower rm 202
hacking@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.