Geodesic
Cluster-tilting subcategories in extriangulated categories
Theory and applications of categories, Tome 34 (2019), pp. 221-242.

Voir la notice de l'article provenant de la source Theory and Applications of Categories website

Let $(C,E,s)$ be an extriangulated category. We show that certain quotient categories of extriangulated categories are equivalent to module categories by some restriction of functor $E$, and in some cases, they are abelian. This result can be regarded as a simultaneous generalization of Koenig-Zhu and Demonet-Liu. In addition, we introduce the notion of maximal rigid subcategories in extriangulated categories. Cluster tilting subcategories are obviously strongly functorially finite maximal rigid subcategories, we prove that the converse is true if the 2-Calabi-Yau extriangulated categories admit a cluster tilting subcategories, which generalizes a result of Buan-Iyama-Reiten-Scott and Zhou-Zhu.
Publié le :
Classification : 18E30, 18E10
Keywords: Extriangulated categories, Cluster-tilting subcategories, Rigid subcategories, Maximal rigid subcategories, Quotient categories 
@article{TAC_2019_34_a7,
     author = {Panyue Zhou and Bin Zhu},
     title = {Cluster-tilting subcategories in extriangulated categories},
     journal = {Theory and applications of categories},
     pages = {221--242},
     publisher = {mathdoc},
     volume = {34},
     year = {2019},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/TAC_2019_34_a7/}
}
TY  - JOUR
AU  - Panyue Zhou
AU  - Bin Zhu
TI  - Cluster-tilting subcategories in extriangulated categories
JO  - Theory and applications of categories
PY  - 2019
SP  - 221
EP  - 242
VL  - 34
PB  - mathdoc
UR  - http://geodesic.mathdoc.fr/item/TAC_2019_34_a7/
LA  - en
ID  - TAC_2019_34_a7
ER  - 
%0 Journal Article
%A Panyue Zhou
%A Bin Zhu
%T Cluster-tilting subcategories in extriangulated categories
%J Theory and applications of categories
%D 2019
%P 221-242
%V 34
%I mathdoc
%U http://geodesic.mathdoc.fr/item/TAC_2019_34_a7/
%G en
%F TAC_2019_34_a7
Panyue Zhou; Bin Zhu. Cluster-tilting subcategories in extriangulated categories. Theory and applications of categories, Tome 34 (2019), pp. 221-242. http://geodesic.mathdoc.fr/item/TAC_2019_34_a7/