Let (A, B, C) be a recollement of extriangulated categories. In this paper we introduce the
global dimension and extension dimension of extriangulated categories, and give some …

Abstract Recently, Wang, Wei and Zhang introduced the notion of recollements of
extriangulated categories. In this paper, let (A, B, C) be a recollement of extriangulated …

In this article, we define relative resolutions and coresolutions in extriangulated categories.
By studying this relative resolutions and coresolutions, we get a generalization of the …

Let $(\mathcal A,\mathcal B,\mathcal C) $ be a recollement of extriangulated categories. In
this paper, we provide bounds on the coresolution dimensions of the subcategories involved …

We consider the notion of pre-extriangulated categories. We give some characterizations of
almost split $\mathfrak s $-triangles in a pre-extriangulated category and provide necessary …

Let (C, E, s) be an extriangulated category with a proper class ξ of E-triangles and X a
resolving subcategory of C. In this paper, we introduce the notion of X-resolution dimension …

Let $\mathscr {C} $ be an extriangulated category with enough projectives and injectives.
We give a new definition of tilting subcategories of $\mathscr {C} $ and prove it coincides …

In this paper, the authors introduce a new definition of∞-tilting (resp. cotilting) subcategories
with infinite projective dimensions (resp. injective dimensions) in an extriangulated category …

We present the concept of cotorsion pairs cut along subcategories of an abelian category.
This provides a generalization of complete cotorsion pairs, and represents a general …

We fix a proper class of 𝔼-triangles ξ in an extriangulated category 𝒞. Let 𝒲 be a class of
objects in 𝒞 such that ξ xt ξ i (W, W′)= 0, ξ xt ξ 0 (−, W)≅ 𝒞 (−, W) and ξ xt ξ 0 (W,−)≅ 𝒞 (W,−) …