Introduction to Algebraic Structures.

Catalog description

PR: MATH 303 with a minimum grade of C-. This course is designed to study fundamental algebraic structures such as groups, rings, and fields. We cover properties of integers, modular arithmetic, groups, permutation groups, subgroups, cyclic groups, cosets, Lagrange’s theorem, normal subgroups, quotient groups, homomorphism and isomorphism of groups, direct product of groups, structure of finite groups, and introduction to rings, integral domains, ideals, and fields.