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Homological Dimensions of Extriangulated Categories and Recollements.

Authors :
Gu, Weili
Ma, Xin
Tan, Lingling
Source :
Algebra Colloquium. Dec2023, Vol. 30 Issue 4, p667-684. 18p.
Publication Year :
2023

Abstract

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 categories involved in (A , B , C) , which give a simultaneous generalization of some results in recollements of abelian categories and triangulated categories. [ABSTRACT FROM AUTHOR]

Details

Language :
English
ISSN :
10053867
Volume :
30
Issue :
4
Database :
Academic Search Index
Journal :
Algebra Colloquium
Publication Type :
Academic Journal
Accession number :
173848783
Full Text :
https://doi.org/10.1142/S1005386723000500