Honors Algebra I

Catalog description

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. | Prerequisites:(A grade of A- or better in MA-UY 2114 or a grade or B+ or better in MA-UY 2514 ) and (a grade of A- or better in MA-UY 1044 (formerly 3044) or MA-UY 3113 or a grade of B+ or better in MA-UY 3054 ). Additionally, it is suggested for students to have taken MA-UY 4614 or MA-UY 4644 as a prerequisite. Note: Cannot receive credit for both MA-UY 4044 and MA-UY 4054 .