? Credit Points : 10  ? SCQF Level : 10  ? Acronym : MAT-4-CoA

Polynomial rings and their ideals, Noetherian rings and modules, Hilbert basis theorem, Noether normalization, weak Nullstensatz, affine algebraic varieties.

? This course is only available to part year visiting students.

? This course is a variant of the following course : U02182

Home subject area

Specialist Mathematics & Statistics (Honours), (School of Mathematics, Schedule P)

? Normal year taken : 4th year

? Delivery Period : Not being delivered

? Contact Teaching Time : 2 hour(s) per week for 10 weeks

All of the following classes

Type Day Start End Area Lecture Tuesday 11:10 12:00 Central Lecture Friday 11:10 12:00 Central

1. Spectrum of a ring, zerodivisors, radical ideals, local rings.
2. Modules, Cayley-Hamilton theorem, Nakayama lemma, Noetherian rings, Hilbert basis theorem.
3. Finite extensions of rings, Noether normalization.
4. Weak Nullstensatz, affine algebraic varieties, Zariski topology.

15% coursework, 85% examination

Exam times

Diet Diet Month Paper Code Paper Name Length 1ST December 1 - 2 hour(s)

The Course Secretary should be the first point of contact for all enquiries.

Course Secretary

Ms Jennifer Marshall
Tel : (0131 6)50 5048
Email : Jennifer.Marshall@ed.ac.uk

Course Organiser

Dr Liam O Carroll
Tel : (0131 6)50 5070
Email : L.O'Carroll@ed.ac.uk

Course Website : http://student.maths.ed.ac.uk

School Website : http://www.maths.ed.ac.uk/

College Website : http://www.scieng.ed.ac.uk/