Endofinite Modules

  • Vladimir Lukiyanov

Student thesis: Master of Philosophy

Abstract

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 Award1 Aug 2013
Original languageEnglish
Awarding Institution
  • The University of Manchester
SupervisorMichael Prest (Supervisor)

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