Undergraduate Course: Topics in Noncommutative Algebra (MATH11143)
|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
|Summary||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.
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)
|| Students MUST have passed:
Honours Algebra (MATH10069)
It is RECOMMENDED that students have passed
Group and Galois Theory (MATH10078)
||Other requirements|| Students should have taken MATH10017 Commutative Algebra.
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
Course Delivery Information
|Not being delivered|
| 1. State important theorems in noncommutative algebra and explain key steps in their proof.
2. Provide examples of several different kinds of noncommutative algebras.
3. Provide examples of noncommutative algebras acting on linear spaces.
4. Demonstrate comprehension by solving unseen problems in noncommutative algebra.
|Graduate Attributes and Skills
|Course organiser||Dr Thomas Leinster
Tel: (0131 6)50 5057
|Course secretary||Mrs Alison Fairgrieve
Tel: (0131 6)50 5045