Courses

General group theory including cyclic groups and permutation groups, homomorphism and isomorphism theorems.

Theory of groups, including cyclic and permutation groups, homomorphisms, normal subgroups and quotient groups. Theory of rings, including integral domains and polynomial rings. Additional topics may be discussed. Not open to students who are taking or who have received credit for MATH 333, 601 or 702.

The first of a two-course, in-depth, rigorous study in topics in the theory of groups, rings and fields.

A continuation of MTH 301. Rings, ring homomorphisms, ideals, quotient rings; integral domains; fields and polynomial extensions of fields.

Elementary theory of rings, polynomial rings, divisibility, unique factorization domains. Integral domains, ideals, factor rings, divisibility in integral domains. Elementary theory of fields. Extension fields.

This course covers the elementary theory of rings, polynomial rings, divisibility, unique factorization domains. Integral domains, ideals, factor rings, divisibility in integral domains. Elementary theory of fields. Extension fields. This course contains additional graduate-level content equivalent to a onehour recitation with the instructor which will further investigate the theoretical aspects of or applications MTH 4441 or MTH 5541, or permission of the instructor.

Introduction to group theory and related topics: groups, cyclic groups, subgroups, cosets and Lagrange's theorem, group homomorphisms and isomorphisms.

Theory of rings, ideals, fields, and integral domains.

This is a continuation of Math 301. Advanced topics in group and ring theory. Fields and field extensions. Not open to students who are taking or who have received credit for MATH 602 or 702.

#