Partial cluster-tilted algebras via twin cotorsion pairs, quasi-abelian categories and Auslander-Reiten theory

Shah, Amit (2019) Partial cluster-tilted algebras via twin cotorsion pairs, quasi-abelian categories and Auslander-Reiten theory. PhD thesis, University of Leeds.

Abstract

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Keywords: partial cluster-tilted algebra, Auslander-Reiten theory, triangulated category, cluster category, rigid object, cluster-tilting object, maximal rigid object, cotorsion pair, twin cotorsion pair, quasi-abelian category, preabelian category, localisation, Krull-Schmidt category, Auslander-Reiten sequence, irreducible morphism, heart
Awarding institution: University of Leeds
Academic Units: The University of Leeds > Faculty of Maths and Physical Sciences (Leeds) > School of Mathematics (Leeds)
The University of Leeds > Faculty of Maths and Physical Sciences (Leeds) > School of Mathematics (Leeds) > Pure Mathematics (Leeds)
Identification Number/EthosID (e.g. uk.bl.ethos.123456): uk.bl.ethos.789441
Depositing User: Mr Amit Shah
Date Deposited: 31 Oct 2019 12:06
Last Modified: 25 Mar 2021 16:45

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