Semi-abelian Categories Arising from Pseudo Cluster Tilting Subcategories

The notion of a pseudo cluster tilting subcategory in an extriangulated category is defined in this article. We prove that the quotient category [Formula: see text], obtained by factoring an extriangulated category [Formula: see text] by a pseudo cluster tilting subcategory [Formula: see text], is a semi-abelian category. Furthermore, we also show that the quotient category [Formula: see text] is an abelian category if and only if certain self-orthogonal conditions are satisfied. As an application, these results generalize the work of Xu and Zheng in the exact category.