@article{Zhang2023, 
author = {Zhen Zhang and Shance Wang},
title = {Relative cluster tilting subcategories in an extriangulated category},
year = {2023},
journal = {Electronic Research Archive},
volume = {31},
number = {3},
pages = {1613-1624},
keywords = {extriangulated category, relative rigid subcategory, relative cluster tilting subcategory, support τ-tilting pair},
url = {https://www.sciopen.com/article/10.3934/era.2023083},
doi = {10.3934/era.2023083},
abstract = {Let        B   be an extriangulated category which admits a cluster tilting subcategory        T  . We firstly introduce notions of        T  -cluster tilting subcategories and related subcategories. Then we prove there is a correspondence between        T  -cluster tilting subcategories of        B   and support    τ-tilting pairs of    m  o  d            Ω      (              T              _    ), which recovers several main results from the literature. Note that the generalization is nontrivial and we give a new proof technique.}
}