Geodesic
Avramov-Martsinkovsky type exact sequences for extriangulated categories
Filomat, Tome 36 (2022) no. 10, p. 3405

Voir la notice de l'article provenant de la source eLibrary of Mathematical Institute of the Serbian Academy of Sciences and Arts

DOI

Let (C, E, s) be an extriangulated category with a proper class ξ of E-triangles. In this paper, we first introduce the ξ-Gorenstein cohomology in terms of ξ-Gprojective resolutions and ξ-Ginjective coresolutions, respectively, and then we get the balance of ξ-Gorenstein cohomology. Moreover, we study the interplay among ξ-cohomology, ξ-Gorenstein cohomology and ξ-complete cohomology, and obtain the Avramov-Martsinkovsky type exact sequences in this setting.
DOI : 10.2298/FIL2210405H
Classification : 18E30, 18E10, 18G25
Keywords: Avramov-Martsinkovsky type exact sequence, ξ-Gorenstein cohomology, ξ-complete cohomology, extriangulated category, proper class 
Jiangsheng Hu; Dongdong Zhang; Tiwei Zhao; Panyue Zhou. Avramov-Martsinkovsky type exact sequences for extriangulated categories. Filomat, Tome 36 (2022) no. 10, p. 3405 . doi: 10.2298/FIL2210405H
@article{10_2298_FIL2210405H,
     author = {Jiangsheng Hu and Dongdong Zhang and Tiwei Zhao and Panyue Zhou},
     title = {Avramov-Martsinkovsky type exact sequences for extriangulated categories},
     journal = {Filomat},
     pages = {3405 },
     year = {2022},
     volume = {36},
     number = {10},
     doi = {10.2298/FIL2210405H},
     language = {en},
     url = {http://geodesic.mathdoc.fr/articles/10.2298/FIL2210405H/}
}
TY  - JOUR
AU  - Jiangsheng Hu
AU  - Dongdong Zhang
AU  - Tiwei Zhao
AU  - Panyue Zhou
TI  - Avramov-Martsinkovsky type exact sequences for extriangulated categories
JO  - Filomat
PY  - 2022
SP  - 3405 
VL  - 36
IS  - 10
UR  - http://geodesic.mathdoc.fr/articles/10.2298/FIL2210405H/
DO  - 10.2298/FIL2210405H
LA  - en
ID  - 10_2298_FIL2210405H
ER  - 
%0 Journal Article
%A Jiangsheng Hu
%A Dongdong Zhang
%A Tiwei Zhao
%A Panyue Zhou
%T Avramov-Martsinkovsky type exact sequences for extriangulated categories
%J Filomat
%D 2022
%P 3405 
%V 36
%N 10
%U http://geodesic.mathdoc.fr/articles/10.2298/FIL2210405H/
%R 10.2298/FIL2210405H
%G en
%F 10_2298_FIL2210405H

Cité par Sources :