… of this theory of Beligiannis in persistence theory and … τcotorsion torsion triples with the
left weak cotorsion torsion … To show that it is a torsion free class, we need to show that it …

… a natural cotorsion theory related to these two classes when there … , if the pair (F;F?) is
cogenerated by a set then evry object M 2 Ob(A… of the class of arbitrary R-torsionfree RG-modules. …

… to the cotorsion pairs such that CB coincide with the class exB … .3), then the kernel of f
in H is the torsion-free part f2(C) of C with … The cotorsion pair cogenerated by C is called n-cotilting …

… it is obtained from a torsion pair cogenerated by a cotilting object. At … Afterwards, we outline
the theory of torsion pairs in a … Finally, we know that CogenW is a torsionfree class in G in the …

… If F and C denote the classes of torsion-free groups and cotorsion groups, respectively, then
… of the cotorsion theory (F, C). More generally, we call a class F′ ⊆ F a cogenerating family …

… to establish our results: the theory of purity in locally finitely … X) we denote the class of all
objects Y cogenerated by X, that … classes in H coincide with the generating torsion-free classes, …

… Recall that an R-module is finitely cogenerated if its injective … a well-defined structure theory
for a class of modules, then we … C is cotorsion if every extension of C by a torsion-free group …

… Given a 1-tilting cotorsion pair over a commutative ring, we … ) cotorsion pair called the
cotorsion pair cogenerated by C. … The class E is called a torsion class and F a torsion-free class…

… of a cotorsion pair, which is a pair of Ext-orthogonal classes in the … of a torsionfree module
is always torsion-free. The only … C)⊥) is a cotorsion pair and is said to be cogenerated by C. …

… classes of R-modules is called a cotorsion pair if A ⊥ = B and ⊥B = A . We note that a cotorsion
pair is also called a cotorsion theory … the first class of the cotorsion pair cogenerated by C …