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Communications in Algebra
Article
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arXiv.org e-Print Archive
Preprint . 2012
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Communications in Algebra
Article . 2013 . Peer-reviewed
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https://dx.doi.org/10.48550/ar...
Article . 2012
License: arXiv Non-Exclusive Distribution
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https://dx.doi.org/10.1080/009...
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Triangulated Quotient Categories

descriptionPublicationkeyboard_double_arrow_right Article , Preprint 03 Oct 2013Embargo end date: 01 Jan 2012 English Publisher:Informa UK LimitedJournal:Communications in Algebra, volume 41, pages 3,720-3,738 (issn: 0092-7872, eissn: 1532-4125, Copyright policy )
Authors: Liu, Yu; Zhu, Bin;

doi: 10.1080/00927872.2012.676116 , 10.48550/arxiv.1204.2024

arXiv: 1204.2024

Triangulated Quotient Categories

Abstract

A notion of mutation of subcategories in a right triangulated category is defined in this paper. When (Z,Z) is a D-mutation pair in a right triangulated category C, the quotient category Z/D carries naturally a right triangulated structure. More-over, if the right triangulated category satisfies some reasonable conditions, then the right triangulated quotient category Z/D becomes a triangulated category. When C is triangulated, our result unifies the constructions of the quotient triangulated categories by Iyama-Yoshino and by J��rgensen respectively.

18 pages

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Keywords

FOS: Mathematics, Representation Theory (math.RT), Mathematics - Representation Theory

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selected citations
These citations are derived from selected sources.
This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Citations provided by BIP!
popularity
This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.
BIP!Popularity provided by BIP!
influence
This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Influence provided by BIP!
impulse
This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.
BIP!Impulse provided by BIP!
14
Average
Top 10%
Top 10%
Green
bronze