Core unitUnit 19 of 24
Abstract Algebra II
Deepen your understanding of advanced algebraic structures and the theory behind modern mathematics.
Difficulty
Beginner
Estimated study
200 hours
Duration
Self-paced
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About this unit
Unit overview
This unit develops the theory of groups, rings and fields at a more advanced level. It emphasises structural theorems, polynomial rings, ideals and field extensions, preparing you for further study in algebra, number theory and geometry.
Learning outcomes
What you’ll learn
- 01Apply group actions and the Sylow theorems to finite groups
- 02Analyse ideals, quotient rings and ring homomorphisms
- 03Work with polynomial rings and irreducibility criteria
- 04Explain field extensions and the foundations of Galois theory