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math.CT2021
One-sided Frobenius pairs in extriangulated categories
Lingling Tan, Yuqiong Gao, Qinghua Chen
Let be an extriangulated category with a proper class of -triangles. We introduce the notions of left Frobenius pairs, left (-)cotorsion pairs and…
math.RT2021
Homological Dimensions of Extriangulated Categories and Recollements
Weili Gu, Xin Ma, Lingling Tan
In this paper, let be a recollement of extriangulated categories. We introduce the global dimension and extension dimension of extriangulate…