Undergraduate Course: Topics in Noncommutative Algebra (MATH11143)
Course Outline
School | School of Mathematics |
College | College of Science and Engineering |
Credit level (Normal year taken) | SCQF Level 11 (Year 5 Undergraduate) |
Availability | Available to all students |
SCQF Credits | 10 |
ECTS Credits | 5 |
Summary | NB. This course is delivered *biennially* with the next instance being in 2018-19. It is anticipated that it would then be delivered every other session thereafter.
While commutative algebra captures and generalizes the essential properties of numbers and functions, noncommutative algebra enters naturally when studying collections of transformations and operators in diverse contexts throughout mathematics, physics and beyond. Students will learn some of the many methods and techniques in noncommutative algebra, highlighting interesting examples, key constructions, and important special classes of noncommutative algebras and their actions on linear spaces. |
Course description |
The syllabus will vary from year to year. Possible topics include:
- Artinian rings
- Noncommutative noetherian rings
- Category theory
- Growth of groups and algebras
- Radicals of rings and algebras
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Entry Requirements (not applicable to Visiting Students)
Pre-requisites |
Students MUST have passed:
Honours Algebra (MATH10069)
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Co-requisites | |
Prohibited Combinations | |
Other requirements | This course is designed so as to be independent of MATH11143 Topics in Ring and Representation Theory, so that students may take either course, or both. |
Information for Visiting Students
Pre-requisites | Visiting students are advised to check that they have studied the material covered in the syllabus of any pre-requisite course listed above before enrolling |
High Demand Course? |
Yes |
Course Delivery Information
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Academic year 2018/19, Available to all students (SV1)
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Quota: None |
Course Start |
Semester 1 |
Timetable |
Timetable |
Learning and Teaching activities (Further Info) |
Total Hours:
100
(
Lecture Hours 22,
Seminar/Tutorial Hours 5,
Summative Assessment Hours 2,
Programme Level Learning and Teaching Hours 2,
Directed Learning and Independent Learning Hours
69 )
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Assessment (Further Info) |
Written Exam
50 %,
Coursework
50 %,
Practical Exam
0 %
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Additional Information (Assessment) |
Coursework 50%, Examination 50%
Each homework will have 5 exercises. There will be 5 sets of homework. |
Feedback |
Not entered |
Exam Information |
Exam Diet |
Paper Name |
Hours & Minutes |
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Main Exam Diet S1 (December) | | 2:00 | |
Learning Outcomes
On completion of this course, the student will be able to:
- The main aim of this course is for you to became fluent working with rings.
- To know the structure theorems of finite dimensional algebras.
- State important theorems in noncommutative algebra and explain key steps in their proof.
- Demonstrate comprehension by solving unseen problems in noncommutative algebra.
- Provide examples of several different kinds of noncommutative algebras.
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Reading List
We will use some chapters (mainly chapter 2) from the following book:
1. M. Bresar, Introduction to noncommutative algebra, 2014. Library: online access
The following books are recommended for enthusiasts:
2. T.Y. Lam, A first course in noncommutative rings, 2001 or 1999. Library: QA251.4 Lam
3. I.N. Herstein, Noncommutative rings, 2005. Library: online access |
Additional Information
Graduate Attributes and Skills |
Not entered |
Keywords | TNA |
Contacts
Course organiser | Dr Agata Smoktunowicz
Tel:
Email: A.Smoktunowicz@ed.ac.uk |
Course secretary | Mr Martin Delaney
Tel: (0131 6)50 6427
Email: Martin.Delaney@ed.ac.uk |
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