Noetherian algebras and their modules

Lead Research Organisation: University of Sheffield
Department Name: Mathematics and Statistics

Abstract

The aim is to study some important classes of noncommutative Noetherian infinite dimensional algebras that have connection with Physics. Classify their prime, completely prime, minimal and maximal spectra. To produce classes of simple modules. Select and study subclasses that are close to PI-rings and study their properties.
To calculate their Krull, global and Krull dimensions. To study their left quotients rings. To develop new techniques to tackle the above mentioned problems.

Publications

10 25 50

Studentship Projects

Project Reference Relationship Related To Start End Student Name
EP/T517835/1 30/09/2020 29/09/2025
2609472 Studentship EP/T517835/1 30/09/2021 30/03/2025 Nathan Blacher