首页|Homological Dimensions of Extriangulated Categories and Recollements

Homological Dimensions of Extriangulated Categories and Recollements

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Let(A,B,C)be a recollement of extriangulated categories.In this paper we introduce the global dimension and extension dimension of extriangulated categories,and give some upper bounds of global dimensions and extension dimensions of the cat-egories involved in(A,B,C),which give a simultaneous generalization of some results in recollements of abelian categories and triangulated categories.

extriangulated categoryrecollementglobal dimensionextension dimension

Weili Gu、Xin Ma、Lingling Tan

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Department of Mathematics,Nanjing University,Nanjing 210093,China

College of Science,Henan University of Engineering,Zhengzhou 451191,China

School of Mathematical Sciences,Qufu Normal University Qufu,Shandong 273165,China

NSFCHenan University of EngineeringKey Research Project of Education Department of Henan Provinceproject of Shandong Provincial Natural Science Foundation

12001168DKJ201901021A110006ZR2021QA001

2023

10.1142/S1005386723000500

代数集刊(英文版)

代数集刊(英文版)

CSCD
ISSN：1005-3867
年,卷(期)：2023.30(4)
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