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 …

Let (G,⊗) be any closed symmetric monoidal Grothendieck category. We show that K-flat
covers exist universally in the category of chain complexes and that the Verdier quotient of K …

Let R be any ring with identity. We show that the homotopy category of all acyclic chain
complexes of pure-projective R-modules is a compactly generated triangulated category …

Let RR be a ring with identity. Inspired by recent work in Emmanouil, Preprint, 2021, we
show that the derived category of RR is equivalent to the chain homotopy category of all K …

Ευχαριστίες Η μεγαλύτερη πρόοδος στη μελέτη μου προήλθε από το εβδομαδιαίο σεμινάριο
το οποίο διοργάνωνε ο κύριος Εμμανουήλ. Στο σεμινάριο συμμετείχαν συστηματικά οι κύριοι …