Faculty of Science

Objectives

To give a basic background for further studies in specialised courses in abstract algebra.

Contents

Notions of logic: prepositional calculus; sets and operations on sets; binary relations and mappings; equivalence relations; Elementary properties of integers: mathematical induction; divisibility; division algorithm; fundamental theorem of arithmetic; congruencies; Elementary properties of groups: permutations; homomorphisms; Lagrange Theorem; normal subgroups; quotient group; Elementary properties of rings: congruencies; types of rings.

Prerequisite: