MTH 5771 - Algebra I

(4 credits)

Groups, Sylow theorems, solvable and simple groups, free groups, generators and relations of groups, finitely generated abelian groups, semi-direct products, extension of groups, rings, polynomial and power series rings, maximal and prime ideals of commutative rings, Euclidean domains, principal ideal domains, and unique factorization domain. Required background: a course in abstract algebra.

Comments: Formerly MTH 571.

Course revisions made after the Graduate Catalog publication date will be posted in the Graduate Catalog Addendum.