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DRPS : Course Catalogue : School of Mathematics : Mathematics

Undergraduate Course: Topics in Noncommutative Algebra (MATH11143)

Course Outline
SchoolSchool of Mathematics CollegeCollege of Science and Engineering
Credit level (Normal year taken)SCQF Level 11 (Year 5 Undergraduate) AvailabilityAvailable to all students
SCQF Credits10 ECTS Credits5
SummaryNB. 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
Entry Requirements (not applicable to Visiting Students)
Pre-requisites Students MUST have passed: Honours Algebra (MATH10069)
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-requisitesVisiting 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
Academic year 2018/19, Available to all students (SV1) 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 )
Assessment (Further Info) Written Exam 50 %, Coursework 50 %, Practical Exam 0 %
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
Main Exam Diet S1 (December)2:00
Learning Outcomes
On completion of this course, the student will be able to:
  1. The main aim of this course is for you to became fluent working with rings.
  2. To know the structure theorems of finite dimensional algebras.
  3. State important theorems in noncommutative algebra and explain key steps in their proof.
  4. Demonstrate comprehension by solving unseen problems in noncommutative algebra.
  5. Provide examples of several different kinds of noncommutative algebras.
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
Course organiserDr Agata Smoktunowicz
Course secretaryMr Martin Delaney
Tel: (0131 6)50 6427
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