Introduction to Abstract Algebra

Undergraduate

Group theory: isomorphism theorems, subgroups and quotient groups, group actions, Sylow theorems, direct and semidirect products. Ring theory: ideals and quotient rings, Euclidean domains, principal ideal domains, unique factorization domains. Prerequisites: one term of linear algebra and two terms of proof-based mathematics courses. (For example, MATH 2250 and 2550 , or MATH 2250 and 2440 .) QR HTBA