Universal Algebras and Residual Finiteness

Lead Research Organisation: University of St Andrews
Department Name: Mathematics and Statistics

Abstract

The project will be focussed around universal algebra, and aim at classifying when certain varieties of algebra are residually finite, as well as looking at residual finiteness of direct and subdirect products. I particular, one aim would be to try and find necessary and sufficient conditions on the type of an algebra to conclude that a direct product is residually finite if and only if its components are residually finite. There will also be investigation into the related notions of subalgebra separability and finite divisibility of algebraic structures.

At least 100 hours of work in SMSTC modules.

Publications

10 25 50

Studentship Projects

Project Reference Relationship Related To Start End Student Name
EP/R513337/1 01/10/2018 30/09/2023
2275817 Studentship EP/R513337/1 01/09/2019 28/02/2023 Bill De Witt