It is now very known how the subprojectivity of modules provides a fruitful new unified
framework of the classical projectivity and flatness. In this paper, we extend this fact to the …

Recently, several authors have adopted new alternative approaches in the study of some
classical notions of modules. Among them, we find the notion of subprojectivity which was …

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 …

In his book “Homotopy Theory and Duality,” Peter Hilton described the concepts of relative
homotopy theory in module theory. We study in this paper the possibility of parallel concepts …

Let R be a ring and N≥ 2. First, we prove that any deconstructible class of modules F over R
induces two coreflective subcategories of the homotopy category KN (Mod-R) of …

In the last few years, López-Permouth and several collaborators have introduced a new
approach in the study of the classical projectivity, injectivity and flatness of modules. This …

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 …

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 …

In the last few years, Lopez-Permouth and several collaborators have introduced a new
approach in the study of the classical projectivity, injectivity and flatness of modules (see for …

Some Relations Between Crossed Modules and Simplicial Objects in Categories of Interest
Page 1 EUROPEAN JOURNAL OF PURE AND APPLIED MATHEMATICS Vol. 7, No. 4, 2014 …