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AUSLANDER–IYAMA CORRESPONDENCE FOR EXACT DG CATEGORIES

Part of: Homological algebra Homological methods Abelian categories

Published online by Cambridge University Press:  17 February 2025

XIAOFA CHEN Open the ORCID record for XIAOFA CHEN [Opens in a new window]
XIAOFA CHEN*
Affiliation:
School of Mathematical Sciences University of Science and Technology of China Hefei JinZhai Road No. 96 P. R. China cxf2011@mail.ustc.edu.cn
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Abstract

We extend the Auslander–Iyama correspondence to the setting of exact dg categories. By specializing it to exact dg categories concentrated in degree zero, we obtain a generalization of the higher Auslander correspondence for exact categories due to Ebrahimi–Nasr-Isfahani (in the case of exact categories with split retractions).

Keywords

extriangulated categoryd-Auslander categoryexact dg categoryderived dg categoryAuslander–Iyama correspondence

MSC classification

Primary: 18G35: Chain complexes
Secondary: 18E20: Embedding theorems 16E35: Derived categories

Information

Type
Article
Information
Nagoya Mathematical Journal , Volume 259 , September 2025 , pp. 499 - 523
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Copyright
© The Author(s), 2025. Published by Cambridge University Press on behalf of Foundation Nagoya Mathematical Journal

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