… In Chapter V, we consider the endomorphism rings of selfinjective and self-projective modules
which … (ii) If {C^:iel} is a class of modules and M is C^-projective for all iel, then M is Il^C^-…

… module of coquotients Cτ(M) of M at a TTF theory on ModR. … It follows that the class T is
closed under factor modules, … A class C of Rmodules is said to be closed under extensions if …

… between recollements and TTF triples given in [33, Section … Given a class of objects U in D,
we denote by Tria(U) the … between finitely generated projective modules. In Proposition 3.6, …

… a finitely generated projective generator (such a module is … TTF-class F such that t(R) .I I
by [e, Theorem 2.1 1. Let (T', t … the idempotent radical t' and the TTF-class F', for equivalences …

… classes: K : any class zontained in IR - S l p : any class of projective modules in R - e G : the
class of … that satisfies (her) and a torsiortorsionfree class (a TTF class) is a torsionfree class E …

… Abstract We study the problem of lifting and restricting TTF … TTF triples are in bijection with
(suitable equivalence classes … the bounded complexes of projective modules inside the right …

… a torsion-torsionfree (TTF) theory. In this case is both a torsion and a torsionfree class, and
hence S~ is called a TTF class as in [13]. In § 3 it was pointed out that TTF theories are related …

… By a torsion theory 7 we mean a pair of classes 7 and 7 of modules that satisfy the following
… A torsion class 7 determined by an idempotent ideal in this way is called a TTF class [32]. …

… We will denote by Gen(V ) the class of V -generated objects. … In reference to the ideal a,
we will denote such TTF-triple … complexes of finitely generated projective modules (see [16]). …

… of a locally projective module irtroduced in [4,20]. Let R be a ring and U a right R-module. The
… (3) RI is finitely generated and projective relative to the class of epimorphism { X + Y + 0 ; X,…