… cotorsion pairs in C(R) if (A, B) is a cotorsion pair … cotorsion pairs are complete when the
original cotorsion pair is complete, and shown that a cotorsion pair (A, B) in an abelian category …

… category with enough injectives. We will call a complete cotorsion pair ( W , F ) an injective
cotorsion pair … for projective cotorsion pairs in abelian categories with enough projectives. …

… category with enough injectives. We will call a complete cotorsion pair (W, F) an injective
cotorsion pair … for projective cotorsion pairs in abelian categories with enough projectives. …

… structures on abelian categories. We show that they are closely related to cotorsion pairs,
which … The other cotorsion pair (C∩W,F) consists of the exact complexes and the DG-injective …

… either a category or a cotorsion pair. Note however that saying that the projective … a cotorsion
pair (A, B) on C and a suitable class of complexes and defined cotorsion pairs of complexes …

… cotorsion pair on an abelian category to a model structure on chain complexes over that
category… compatible with the tensor product of chain complexes of sheaves. The existence of the …

… Let (𝒳,𝒴) be a complete and hereditary cotorsion pair in a bicomplete abelian category 𝒜.
We introduce a Gorenstein category 𝒢(𝒳) and 𝒢(𝒳)-resolution dimension of complexes with …

… In Section 2, we describe some basic notions and results concerning N-complexes. In
Section 3, we start with a cotorsion pair (X , Y ) in an abelian category A with enough X -objects …

… over to more general abelian categories and have proved useful … cotorsion pairs (C, V) in
the category C(R-Mod) of complexes of left R- modules over some ring R. If (C, V) is such a pair…

… cotorsion pairs … cotorsion pair ( A , B ) in a Grothendieck category, we consider triples of
examples of injective and projective cotorsion pairs on the categories of unbounded complexes …