MAT 324E - Algebra

Course Objectives

1-To teach basic group theory.
2-To teach basic ring theory.
3-To show the relations between quotient rings and fields.

Course Description

Group Axioms, Subgroup, Normal Subgroup, Quotient Groups, Langrange’s Theorem, Homomorphisms, Isomorphism Theorems, Direct Product of Groups, The Structure of Abelian Groups, Permutation Groups, Ring Axioms, Direct Product of Rings, Subrings and Ideals, Quotient Rings, Homomorphisms, Integral Domain, Prime and Maximal Ideals, Polynomial Rings.