This is an exposition of the various results which relate modules which are of finite length when considered over the endomorphism rings (endofinite modules) and the Ziegler spectrum, including various properties of isolation and decomposition properties of products. Use is made of the locally finitely presented functor category, the corresponding endocategory is used both from the model theoretic and category theoretic perspectives. A large part of this exposition concerns results on certain pure-injective modules which are precisely the totally transcendental modules from model theory.
|Date of Award||1 Aug 2013|
- The University of Manchester
|Supervisor||Michael Prest (Supervisor)|