… previous properties in the concept of left n-cotorsion pair. In the general setting provided by
… This concept and its dual (right n-cotorsion pair) will represent an approach to what, roughly …

… In the present paper, we study the relationships of n-cotorsion pairs among three abelian …
of gluing of n-cotorsion pairs in an abelian category P with respect to n-cotorsion pairs in …

… cotorsion pairs. We prove that any mutation of an n-cotorsion pair is again an n-cotorsion
pair… When n = 1, this result generalizes the work of Zhou and Zhu for classical cotorsion pairs. …

… In this article, we prove that if (A, B, C) is a recollement of extriangulated categories, then
n-cotorsion pairs in A and C can induce n-cotorsion pairs in B. Conversely, this holds true under …

… Recall that a cotorsion envelope σM : M → C(M) has the unique mapping property [6], if for
any homomorphism f : M → N with N cotorsion, there exists a unique g : C(M) → N such that …

… n-cotorsion pairs, and establish a one-to-one correspondence between left Frobenius pairs
… in T with respect to ξ, and then by virtue of an equivalent characterization of ncotorsion pairs …

… research: complete left and right cotorsion pairs (A, B) cut … pairs coming from left Frobenius
pairs. Moreover, in Proposition 2.23, we show how to construct a complete cut cotorsion pair …

… of n-cotorsion modules. Recently, Zhao proved (WFn,WF … n-cotorsion modules ⇒
cotorsion modules; 2. If R is a coherent ring, then n-weak cotorsion modules coincide with n-cotorsion …

… pair (A ,B) of classes of R-modules is called a cotorsion pair if A ⊥ = B and ⊥B = A . A cotorsion
pair (… R(F, M) = 0 for any (n,0)flat module F, and we call a right R-module M n-cotorsion if …

Let R be a ring. A subclass T of left R-modules is called a weak torsion class if it is closed
under homomorphic images and extensions. Let T be a weak torsion class of left R-modules …