In this paper, we examine the class of K-absolutely pure complexes. These are the
complexes which are right orthogonal in the homotopy category K (R) to the acyclic …

Krause [19] has proved that the homotopy category K (R-PureProj) of pure projective
modules over an associative ring R is compactly generated and equivalent to the Verdier …

Let R be any ring. We motivate the study of a class of chain complexes of injective R-
modules that we call AC-injective complexes, showing that K (AC-Inj), the chain homotopy …

K-flatness for unbounded complexes of modules over a ring R was introduced by
Spaltenstein [27], as an analogue of the classical notion of flatness for modules. In this …

Given a commutative ring R and finitely generated ideal I, one can consider the classes of I-
adically complete, L 0 I-complete and derived I-complete complexes. Under a mild …

We show that the homotopy category of complexes K (B) over any finitely accessible additive
category B is locally well generated. That is, any localizing subcategory L in K (B) which is …

The homotopy category of complexes of projective modules Page 1 Advances in Mathematics
193 (2005) 223–232 www.elsevier.com/locate/aim The homotopy category of complexes of …

We study the homotopy category of unbounded complexes with bounded homologies and
its quotient category by the homotopy category of bounded complexes. In the case of the …

A module is said to be P–projective if it is a cokernel of a projective preenvelope. We first
obtain a number of characterizations of P–projectivity. Then we study when the exactness of …

The main results of this paper are the following theorems: a) Suppose that C is a chain
complex of A− modules with E a non zero subcomplex of C. If E and C/E are hopfians then C …