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Extriangulated categories give a simultaneous generalization of triangulatedcategories and exact categories. In this paper, we study silting subcategoriesof an extriangulated category. First, we show that a silting subcategoryinduces a basis of the Grothendieck group of an extriangulated category.Secondly, we introduce the notion of silting mutation and investigate its basicproperties. Thirdly, we explore properties of silting subcategories of thesubcategory consisting of objects with finite projective dimension. As anapplication, we can recover Auslander--Reiten's result which gives a bijectionbetween tilting modules and contravariantly finite resolving subcategories withfinite projective dimension.

An assortment of properties of silting subcategories of extriangulated categories