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Research Article | Open Access

Idempotent completion of right suspended categories

College of Mathematics, Hunan Institute of Science and Technology, 414006 Yueyang, China
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Abstract

We show that the idempotent completion of a right suspended category has a natural structure of right suspended category and dually this is true for a left suspended category. This unifies and extends results of Balmer-Schlichting, Bühler and Liu-Sun for triangulated, exact and right triangulated categories, respectively.

Keywords

idempotent completionsuspended categoriestriangulated categoriesexact categories
CLC number: 18G80, 18E10

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AIMS Mathematics
Volume 7 Issue 7,
July 2022
Pages 13442-13453
DOI: 10.3934/math.2022743

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Cite this article:
Zhou Y. Idempotent completion of right suspended categories. AIMS Mathematics, 2022, 7(7): 13442-13453. https://doi.org/10.3934/math.2022743

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Received: 09 March 2022
Revised: 12 May 2022
Accepted: 13 May 2022
Published: 15 July 2022
©2022 the Author(s), licensee AIMS Press.

This is an open access article distributed under the terms of the Creative Commons Attribution License (https://creativecommons.org/licenses/by/4.0)