@article{Liu2024, 
author = {Limin Liu and Hongjin Liu},
title = {Consistent pairs of        s  -torsion pairs in extriangulated categories with negative first extensions},
year = {2024},
journal = {AIMS Mathematics},
volume = {9},
number = {1},
pages = {1494-1508},
keywords = {extriangulated categories, s-torsion pairs, consistent pairs, τ-rigid modules},
url = {https://www.sciopen.com/article/10.3934/math.2024073},
doi = {10.3934/math.2024073},
abstract = {As a generalization of a consistent pair of    t-structures on triangulated categories, we introduced the notion of a consistent pair of        s  -torsion pairs in the extriangulated setup. Let    (            T              i        ,            F              i        ) be an        s  -torsion pair in an extriangulated category with a negative first extension for any    i  =  1  ,  2. By using the consistent pair, we gave a criterion for    (            T              1        ∗            T              2        ,            F              1        ∩            F              2        ) to be an        s  -torsion pair. Our results were then applied to the torsion theory induced by    τ-rigid modules.}
}