… every cotorsion pair for modΛ induces a cotorsion pair for ModΛ. This has some interesting
applications, … Next we show that cotorsion pairs for modΛ induce cotorsion pairs for ModΛ. We …

… cotorsion pairs. Kaplansky 's theorem says that any projective module is a direct sum of
countably generated modules. Considering the cotorsion pair … for an arbitrary cotorsion pair (A, B) …

… In Section 3 we define the two new pairs of cotorsion pairs in Ch(C). One must also show
that each of these pairs is small to get factorizations in our model category. Since this process …

… Applications of the Ext-Lemma In this section we will give first applications of our Ext-Lemma
3.3 which are important later on. We will begin by rederiving some known results of Harrison…

… termwise manner by starting with a cotorsion pair (X , Y ) that is cogenerated by a set. As
applications of these results, we obtain more abelian model structures from the cotorsion pairs. …

… from cotorsion triples. By Hovey’s correspondence between complete cotorsion pairs and …
injective model structure induced from a complete and hereditary cotorsion triple ( X , Z , Y ) , …

… Besides describing this connection, we also indicate some applications. The stable module
… Cotorsion pairs can be used to construct two different model structures on the category of K| …

… In Section 5 we present applications and examples of the theory of n-cotorsion pairs, developed
in Sections 3 and 4, in the context of relative Gorenstein homological algebra and cluster…

… are cotorsion, and torsion-free cotorsion modules are pure-injective. Cotorsion theories were
… In this paper we are interested in the question of when a cotorsion pair (F,C) is cogenerated …

… cotorsion pair from the intersection of two cotorsion pairs in … A cotorsion pair is a pair of
classes of objects (X,Y) of an exact … As applications, we get a lot of known and unkown cotorsion …