Extends the application of the familiar algebraic laws for adding and multiplying numbers, matrices and vectors to other contexts. Depending on just which laws are satisfied, the algebraic structures studied are called groups, rings and fields. These concepts underlie much of modern mathematics, and are essential background for research in any area of pure mathematics.



  • Semester 2 - 2016

Learning Outcomes

On successful completion of the course students will be able to:

1. Hold an algebraic background consistent with current research in the discipline

2. Be able to work within abstract algebraic frameworks

3. Had been provided with an overview of algebra covered in previous years of study.


  • Groups and subgroups
  • Homomorphisms and factor groups
  • Permutation groups
  • Groups acting on sets
  • Abelian groups
  • Rings and modules
  • Integral domains
  • Fields
  • Homomorphisms and factor rings
  • Prime ideals and maximal ideals
  • Unique factorisation domains

Assumed Knowledge


Assessment Items

Formal Examination: Examination

Presentation: Presentation

Essay: Essay / Written Assignment

Contact Hours



Face to Face On Campus 3 hour(s) per Week for Full Term