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Functorial Filtrations for Semiperfect generalisations of Gentle Algebras

Bennett-Tennenhaus, Raphael Jacob Michael (2017) Functorial Filtrations for Semiperfect generalisations of Gentle Algebras. PhD thesis, University of Leeds.

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Abstract

In this thesis we introduce a class of semiperfect rings which generalise the class of finite-dimensional gentle algebras. We consider complexes of modules over these rings which have finitely generated projective homogeneous components. We then classify them up to homotopy equivalence. The method we use to solve this classification problem is called the functorial filtrations method. The said method was previously only used to classify modules.

Item Type: Thesis (PhD)
Keywords: semiperfect rings, gentle algebras, complexes of modules, functorial filtrations
Academic Units: The University of Leeds > Faculty of Maths and Physical Sciences (Leeds) > School of Mathematics (Leeds) > Pure Mathematics (Leeds)
Depositing User: Dr Raphael Jacob Michael Bennett-Tennenhaus
Date Deposited: 22 Mar 2018 11:34
Last Modified: 01 Apr 2019 00:18
URI: http://etheses.whiterose.ac.uk/id/eprint/19607

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