MA-UY 4054 Honors Algebra I

4 Credits

Introduction to abstract algebraic structures, including groups, rings, and fields. Sets and relations. Congruences and unique factorization of integers. Groups, permutation groups, group actions, homomorphisms and quotient groups, direct products, classification of finitely generated abelian groups, Sylow theorems. Rings, ideals and quotient rings, Euclidean rings, polynomial rings, unique factorization. | Offered in the fall.

Prerequisite(s): A grade of B or better in (MA-UY 4613 or MA-UY 4614) and (MA-UY 3044 or MA-UY 3054 or MA-UY 3113) or instructor permission.
Also listed under: MATH-UA 348 Honors Algebra I
Note: Cannot receive credit for both MA-UY 4044 and MA-UY 4054.

Weekly Lecture Hours: 4