… between complete cotorsion pairs and cotorsion pairs in [14… a cotorsion pair in [24] will be
called a complete cotorsion pair … We start by showing that Y is closed under extensions (in C). …

… between tilting subcategories and certain cotorsion pairs. … Then we define support τ-tilting
subcategories and τ-cotorsion pairs … of higher extensions in extriangulated categories to prove. …

… Let A and B be equipped with sufficiently nice cotorsion pairs, then we find model structures
on their … Via concatenation we see that the following extensions are equivalent in Ext2(D, E). …

… cotorsion pair must be closed under extensions. This implies that any class of objects participating
in a cotorsion pair … subcategory whose class of objects participates in a cotorsion pair. …

… Among the properties of these new concepts, we prove that the class of objects in C having
a ( A , k , B ) -precover is closed under extensions if we put certain orthogonality condition on …

… In this paper, we study the property of the extension closure of some classes of objects in (B
… cotorsion pairs in abelian categories A and B can induce complete hereditary cotorsion pairs …

… FA; CA/be the cotorsion pair in A-Mod in which FA is the class … the n-cotilting and n-tilting
cotorsion pairs, for which we obtain … the paper, we consider certain cotorsion pairs related to the …

… cotorsion pair to be integral and quasi-abelian. And in §5, we show there is an explicit
equivalence from the heart of a cotorsion pair ( … ) : δ → f * δ of extensions, which we may realise by …

… obtain an isomorphism of extensions that we wanted. Conversely, suppose we have a map
ϕ : Cf → Y ⊕ Σ(X) which defines an isomorphism of extensions. Then in the pushout diagram …

… Specifically, we show in Proposition 2.21 below an extension of the union property of
Proposition 2.14 (2), in the sense that it is possible to take the union of two different complete cut …