… cotorsion module is strongly cotorsion, for we will see in $10 that every cotorsion module is
strongly cotorsion … Let C be an extension of T by Ext (K,I); ie, we have an exact sequence: 1 0 …

… perfect complete cotorsion pairs, a non-trivial consequence of … a cotorsion pair is closed
under direct sums and extensions, … in a cotorsion pair is closed under products and extensions, …

… For example, the condition of all cotorsion pairs being trivial … ring R, this condition holds iff
R = S or R = T or R is the ring … , there is an extension of ZGC + GCH with a cotorsion pair C …

… introduced and studied by Xue [6] as a non-trivial generalization of excellent extensions. …
extensions to cotorsion pairs, and introduce cotorsion pair extensions related to ring extensions …

… which is closed under extensions. Then F together with all … to construct complete cotorsion
pairs we need to specialize. … one object whose endomorphism ring is R with the trivial grading, …

… Moreover, P is closed under epimorphic images and extensions due to the fact that R is
left … But this is trivial because T C T1 and (T), C1) is a torsion theory, hence C2 G C1. This …

… Then, by functorially factoring the map 0 → X into a cofibration followed by a trivial fibration,
we find a trivial fibration Y … Then D is closed under retracts and transfinite extensions. …

… cotorsion pairs from these orthogonal complements, allowing us to provide further
characterizations of n-coherent rings… is an n-coherent ring in terms of the cotorsion pairs …

… cotorsion pair. Thus, we propose a notion for being hereditary that is not trivial for either left or
right higher cotorsion pairs… ( A , k , B ) -precover is closed under extensions if we put certain …

… -free cotorsion groups are splitters, the first for trivial algebraic … In the classical case this is
the class of torsionfree cotorsion … invariants; an extension to rational cotorsiongroups is given in …