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 |
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 | |
| Prohibited Combinations | |
Other requirements | None |
| 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: |
Course secretary | Ms Jennifer Marshall
Tel: (0131 6)50 5048
Email: |
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