Review of basic group theory including Lagrange's Theorem. Normal subgroups, factor, groups; homomorphisms, fundamental theorem of finite Abelian groups. Examples and basic properties, integral domains and fields, ideal and factor rings, homomorphisms. Polynomials, factorization-of polynomials over a field, factor rings of polynomials over a field. Irreducible and unique factorization, principal ideal domains.

Pre-requisites: MATH210 Or MATH232 Or (ICS253 And ICS254)