Undergraduate Course: Commutative Algebra (MATH10017)
Course Outline
School |
School of Mathematics |
College |
College of Science and Engineering |
Course type |
Standard |
Availability |
Available to all students |
Credit level (Normal year taken) |
SCQF Level 10 (Year 4 Undergraduate) |
Credits |
10 |
Home subject area |
Mathematics |
Other subject area |
Specialist Mathematics & Statistics (Honours) |
Course website |
http://student.maths.ed.ac.uk
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Taught in Gaelic? |
No |
Course description |
Polynomial rings and their ideals, Noetherian rings and modules, Hilbert basis theorem, Noether normalization, weak Nullstensatz, affine algebraic varieties. |
Entry Requirements (not applicable to Visiting Students)
Pre-requisites |
Students MUST have passed:
Numbers & Rings (MATH10023)
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Co-requisites |
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Prohibited Combinations |
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Other requirements |
None
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Additional Costs |
None |
Information for Visiting Students
Pre-requisites |
None |
Displayed in Visiting Students Prospectus? |
Yes |
Course Delivery Information
Not being delivered |
Summary of Intended Learning Outcomes
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.
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Assessment Information
tba
Visiting Student Variant Assessment
15% coursework, 85% examination |
Special Arrangements
None |
Additional Information
Academic description |
Not entered |
Syllabus |
Not entered |
Transferable skills |
Not entered |
Reading list |
Not entered |
Study Abroad |
Not entered |
Study Pattern |
Not entered |
Keywords |
Not entered |
Contacts
Course organiser |
Dr Liam O'Carroll
Tel: (0131 6)50 5070
Email: L.O'Carroll@ed.ac.uk |
Course secretary |
Ms Jennifer Marshall
Tel: (0131 6)50 5048
Email: Jennifer.Marshall@ed.ac.uk |
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