Abstract
Let be a subcategory of an extriangulated category and let be a strongly functorially finite subcategory of Then the subfactor category admits a pre-triangulated structure in the sense of Beligiannis-Reiten where has the following properties: For any -triangle in where is -monic, the third term C is also in For any -triangle in where is -epic, the first term A is also in Moreover, if the above pre-triangulated category with becomes a triangulated category, then forms an -mutation pair and is closed under extensions.
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