Let $\mathcal {C} $ be a triangulated category with a proper class $\xi $ of triangles.
Asadollahi and Salarian introduced and studied $\xi $-Gorenstein projective and $\xi …

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,−) …

Let C be a triangulated category with a proper class E of triangles. Asadollahi and Salarian
introduced and studied EG projective and EG injective objects, and developed a relative …

Let 𝒜 be an abelian category. A subcategory 𝒳 of 𝒜 is called coresolving if 𝒳 is closed under
extensions and cokernels of monomorphisms and contains all injective objects of 𝒜. In this …

Let 𝒜 be an abelian category and 𝒳, 𝒴, 𝒵 additive full subcategories of 𝒜. We introduce and
study the Gorenstein category 𝒢 (𝒳, 𝒴, 𝒵) as a common generalization of some known …

We first introduce in the paper the W_F-Gorenstein modules to establish the following Foxby
equivalence: \xymatrix@C=80ptG(F)∩A_C\ar@\lt0.5ex>r^C⊗_R-\amp\,\,\,\,G(W_F)\ar@\lt0 …

Let 𝒯 be a triangulated category with triangulation Δ, 𝜉⊆ Δ a proper class of triangles and 𝒞
an additive full subcategory of 𝒯. We provide a method for constructing a proper 𝒞 (𝜉) …

Let C be triangulated category and X a cluster tilting subcategory of C. Koenig and Zhu
showed that the quotient category C/X is Gorenstein of Gorenstein dimension at most one …

A NOTE ON CARTAN-EILENBERG GORENSTEIN CATEGORIES Bo Lu*, Wei Ren and
Zhongkui Liu Abstract 1. Introduction A generalization of c Page 1 B. LU, W. REN AND Z. LIU …

We fix a proper class of triangles $\xi $ in a triangulated category $\mathcal {C} $. Let
$\mathcal {W} $ be a class of objects in $\mathcal {C} $ such that $\xi xt^ i_\xi (W,\W')= 0$ for …