Hereditary categories with Serre duality which are generated by preprojectives

Carl Fredrik Berg; Adam Christiaan van Roosmalen

doi:10.1016/j.jalgebra.2010.11.021

Hereditary categories with Serre duality which are generated by preprojectives

Carl Fredrik Berg
, Adam Christiaan van Roosmalen^*

^*Corresponding author for this work

Norwegian University of Science and Technology
University of Bonn

Research output: Contribution to journal › Article › peer-review

5 Citations (Scopus)

Abstract

We show that every k-linear abelian Ext-finite hereditary category with Serre duality which is generated by preprojective objects is derived equivalent to the category of representations of a strongly locally finite thread quiver.

Original language	English
Pages (from-to)	220-257
Number of pages	38
Journal	Journal of Algebra
Volume	335
Issue number	1
DOIs	https://doi.org/10.1016/j.jalgebra.2010.11.021
Publication status	Published - 1 Jun 2011
Externally published	Yes

Keywords

Derived categories
Hereditary categories
Serre duality

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10.1016/j.jalgebra.2010.11.021

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title = "Hereditary categories with Serre duality which are generated by preprojectives",

abstract = "We show that every k-linear abelian Ext-finite hereditary category with Serre duality which is generated by preprojective objects is derived equivalent to the category of representations of a strongly locally finite thread quiver.",

keywords = "Derived categories, Hereditary categories, Serre duality",

author = "Berg, \{Carl Fredrik\} and \{van Roosmalen\}, \{Adam Christiaan\}",

year = "2011",

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doi = "10.1016/j.jalgebra.2010.11.021",

language = "English",

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pages = "220--257",

journal = "Journal of Algebra",

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AU - van Roosmalen, Adam Christiaan

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N2 - We show that every k-linear abelian Ext-finite hereditary category with Serre duality which is generated by preprojective objects is derived equivalent to the category of representations of a strongly locally finite thread quiver.

AB - We show that every k-linear abelian Ext-finite hereditary category with Serre duality which is generated by preprojective objects is derived equivalent to the category of representations of a strongly locally finite thread quiver.

KW - Derived categories

KW - Hereditary categories

KW - Serre duality

UR - https://www.scopus.com/pages/publications/79955150983

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DO - 10.1016/j.jalgebra.2010.11.021

M3 - Article

AN - SCOPUS:79955150983

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VL - 335

SP - 220

EP - 257

JO - Journal of Algebra

JF - Journal of Algebra

IS - 1

ER -

Hereditary categories with Serre duality which are generated by preprojectives

Abstract

Keywords

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