Let 𝒜 be an abelian category having enough projective and injective objects, and let 𝒯 be
an additive subcategory of 𝒜 closed under direct summands. A known assertion is that in a …

Let R and S be rings and RωS a semidualizing bimodule. We introduce and study the
adjoint cotransposes of modules and adjoint n-ω-cotorsionfree modules. We show that the …

Let R and S be rings, and let R ω S be a semidualizing bimodule. We prove that there exists
a Morita equivalence between the class of∞-ω-cotorsion-free modules and a subclass of the …

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 …

Let R and S be rings and RCS a semidualizing bimodule. We show that the supremum of the
C-projective dimensions of C-flat left R-modules is less than or equal to that for left R …

Let R and S be arbitrary rings and let CSR be a semidualizing bimodule, and let 𝒜 C⁢(R op)
and ℬ C⁢(R) be the Auslander and Bass classes, respectively. Then both pairs (𝒜 C⁢(R …

Let T be a triangulated category with a proper class ξ of triangles and X be a subcategory of
T. We first introduce the notion of X-resolution dimensions for a resolving subcategory of T …

Acta Mathematica Sinica, English Series Page 1 Acta Mathematica Sinica, English Series
Nov., 2017, Vol. 33, No. 11, pp. 1513–1535 Published online: July 15, 2017 https://doi.org/10.1007/s10114-017-6416-8 …

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 …

Abstract Let A, A′, and A ″be artin algebras. We prove that if there is a recollement of the
bounded Gorenstein derived category DG (P (Mod A)) b (Mod A) relative to the bounded …