MTH 541 - Topics in Abstract Algebra

4 credits each
The following and other topics are offered as needed. Repeat credit is offered for distinct topics.

Groups: Involves careful study of groups, including normal subgroups, group morphisms, isomorphism theorems, and the Sylow or the equivalent structure theorems. Prerequisite: MTH 341 .

Rings: Involves careful study of rings, including integral domains, Euclidean domains, and other algebraically related structures. Uses quotient rings, ideals, and ring homomorphisms to establish the existence of solutions to certain polynomials. Prerequisite: MTH 341 .