Module code: MA2133
The module focuses on establishing the foundation for further study in algebra, and provides the essential knowledge to apply algebra across other areas in mathematics, science and engineering. This module will introduce some applications of algebra, for example in the study of symmetry, and develop your ability to apply algebra in situations to which it naturally applies. You will perform basic calculations in groups, rings and fields, and you will learn how the notions of homomorphism’s and isomorphisms apply to these contexts.
We will demonstrate how to apply the quotient construction in the context of groups and rings to construct new groups and rings, and define the various types of factorisation in rings and identify the class to which various rings belong. This module will familiarise you with what a maximal ideal is and how to use maximal ideals to construct fields.