Course Co-ordinator: Dr D Quinn

Pre-requisite(s): MX 3020

• Basic concepts and examples. Ideals, factor rings, isomorphism theorems.


• Rings of polynomials.


• Field of fractions of a domain.


• Unique Factorization Domains, Principal Ideal Domains, Euclidean Domains.


• Passage from R to R[X]. Gauss's Theorem. Eisenstein's criterion.


• Fields : characteristic, prime subfield.


• Finite fields, construction.


• Algebraic and transcendental elements, algebraic closure.

2 one-hour lectures and 1 one-hour tutorial per week.

1st Attempt: 1 two-hour written examination (80%); in-course assessment (20%).

Resit: 1 two-hour examination (maximum of 100% resit and 80% resit with 20% in-course assessment).
Only the marks obtained on first sitting can be used for Honours classification.