MAT 322E - Algebra

Course Objectives

The aim of this course is to introduce the fundamental concepts of Algebra.

Course Description

Group and Ring Theory are the main subjects of this course

Topics: Introduction; integers, equivalence relation. Groups; axioms of groups, sugroups, normal subgroups, Lagrange theorem, homomorphisms, Cayley theorem, permutation groups, structures of commutative groups. Rings; rings and ideals, polinomial rings, quotient rings, ring homomorphism, quotient feld, principal ideal domains, unique factorization domains, euclidean domains, prime and maximal ideals.