We study the balancedness of complete cohomology with respect to a special preenveloping/precovering subcategory. As an application, a balanced result for Tate cohomology is given.

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Main Authors: Guo, Shoutao, Liang, Li, Yang, Xiaoyan
Format: Article
Language:English
Published: Académie des sciences 2025-06-01
Series:Comptes Rendus. Mathématique
Subjects:
Online Access:https://comptes-rendus.academie-sciences.fr/mathematique/articles/10.5802/crmath.755/
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author Guo, Shoutao
Liang, Li
Yang, Xiaoyan
author_facet Guo, Shoutao
Liang, Li
Yang, Xiaoyan
author_sort Guo, Shoutao
collection DOAJ
description We study the balancedness of complete cohomology with respect to a special preenveloping/precovering subcategory. As an application, a balanced result for Tate cohomology is given.
format Article
id doaj-art-c4c9428354f74fe6b595b8a1ee4361e4
institution Kabale University
issn 1778-3569
language English
publishDate 2025-06-01
publisher Académie des sciences
record_format Article
series Comptes Rendus. Mathématique
spelling doaj-art-c4c9428354f74fe6b595b8a1ee4361e42025-08-20T03:58:13ZengAcadémie des sciencesComptes Rendus. Mathématique1778-35692025-06-01363G770572210.5802/crmath.75510.5802/crmath.755Guo, Shoutao0Liang, Li1Yang, Xiaoyan2Department of Mathematics, Gansu Center for Fundamental Research in Complex Systems Analysis and Control, Lanzhou Jiaotong University, Lanzhou 730070, ChinaDepartment of Mathematics, Gansu Center for Fundamental Research in Complex Systems Analysis and Control, Lanzhou Jiaotong University, Lanzhou 730070, China; Gansu Provincial Research Center for Basic Disciplines of Mathematics and Statistics, Lanzhou 730070, ChinaSchool of Science, Zhejiang University of Science and Technology, Hangzhou, 310012, ChinaWe study the balancedness of complete cohomology with respect to a special preenveloping/precovering subcategory. As an application, a balanced result for Tate cohomology is given.https://comptes-rendus.academie-sciences.fr/mathematique/articles/10.5802/crmath.755/Satellitebalancednesscomplete cohomologyTate cohomology
spellingShingle Guo, Shoutao
Liang, Li
Yang, Xiaoyan
Comptes Rendus. Mathématique
Satellite
balancedness
complete cohomology
Tate cohomology
topic Satellite
balancedness
complete cohomology
Tate cohomology
url https://comptes-rendus.academie-sciences.fr/mathematique/articles/10.5802/crmath.755/