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  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)
Prerequisites 
Students MUST have passed:
Honours Algebra (MATH10069) It is RECOMMENDED that students have passed
Group and Galois Theory (MATH10078)

Corequisites  
Prohibited Combinations  
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
Prerequisites  None 
Course Delivery Information
Not being delivered 
Learning Outcomes
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.

Additional Information
Graduate Attributes and Skills 
Not entered 
Keywords  TNA 
Contacts
Course organiser  Dr Thomas Leinster
Tel: (0131 6)50 5057
Email: Tom.Leinster@ed.ac.uk 
Course secretary  Mrs Alison Fairgrieve
Tel: (0131 6)50 5045
Email: Alison.Fairgrieve@ed.ac.uk 

