… Abstract: LetC be an abelian category, W be a contravariantly finite subcategory of C …
category (C /W ) /(X /W ) ≈ C /X has a left triangulated structure, which is a left triangulated category…

… subcategory S of a triangulated category T with respect to ξ. We begin this section recalling
the concept of cotorsion pairs in triangulated categories… We say that (F,G) is a left S-cotorsion …

… for finitely generated modules over a left and right Noetherian ring, … triangulated categories,
studied Gorenstein projective objects and Tate cohomology theory in a triangulated category …

… of triangulated categories are studied. By using the conclusion that the coherent … category
of triangulated category is an Abelian category, it is shown that the coherent functor category $\…

… We investigate the relationship between singularity categories and stable categories with
respect to … of left global dimension of rings in terms of singularity categories and Ding modules. …