… A right R-module N is called an n-weak cotorsion module if N … that a right R-module M is
n-weak cotorsion if and only if M is … R-module and a reduced n-weak cotorsion right R-module. In …

… hereditary cotorsion theory and for any N ∈ WPn(R)⊥, there exists an n-weak projective
cover with the unique mapping property if and only if every R-module is n-weak projective. …

… modules considered are unitary, n is a positive integer. The symbol R-Mod denotes the class
of all left R-modules. … A pair (L, C) of classes of R-modules is called an n-cotorsion theory if L…

… to k, and right R-modules with n-weak flat dimension less than or … cotorsion modules, called
(n, k)-weak cotorsion modules (… -weak cotorsion module is k-weak cotorsion, k-cotorsion and …

… ( W F k n ( R o p ) , W F k n ( R o p ) ⊥ ) is a hereditary perfect cotorsion pair, and if R is in
W I k n ( R ) , it follows that the pair ( W I k n ( R ) , W I k n ( R ) ⊥ ) is a perfect cotorsion pair. …

… the infinitely generated Gorenstein tilting modules, Gorenstein tilting classes and their
associated relative cotorsion pairs. Furthermore, weak n-tilting modules were generalized by Mao […

… n-weak injective and Gorenstein n-weak flat modules for an … some characterizations of these
modules. Among other results, … → 0 of R-modules, if A is Gorenstein n-weak injective, then C …

… As an extension of several known notions, we introduce and study (n, k)-weak cotorsion
modules using the class of right R-modules with n-weak flat dimensions at most k. Various …

… modules does not work for infinitely generated cotilting modules, we introduce the notion of
weak tilting modules … Then (M, L) is the tilting cotorsion pair in R op -Mod induced by M. Let C …

… and modules are unitary. The category of left (resp., right) R-… and she referred to rings such
that the cotorsion pair ( P 1 , 1 , I … n)-coherent ring if and only if the cotorsion pair ( P m , n , I m , …