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Cotorsion Pairs of Complexes Page 1 Cotorsion Pairs of Complexes Xiaoyan Yang Dedicated
to the 70-year-old birthday of Professor KP Shum Abstract: Let C be a complex of right …

This note is devoted to the study of cotorsion theory in the category of quiver
representations. Let be a quiver, ξ be a class of representations, and let Vξ denote the class …

Given a cotorsion pair (,) in an abelian category, we define cotorsion pairs (, dg) and (dg,) in
the category< sub> N() of N-complexes on. We prove that if the cotorsion pair (,) is complete …

Acta Mathematica Sinica, English Series Page 1 Acta Mathematica Sinica, English Series
Sep., 2009, Vol. 25, No. 9, pp. 1567–1582 Published online: August 15, 2009 DOI: 10.1007/s10114-009-6385-7 …

In this paper, we first construct some complete cotorsion pairs on the category ℂ N (𝒢) of
unbounded N-complexes of Grothendieck category 𝒢, from two given cotorsion pairs in 𝒢 …

Abstract The triple (X, Z, Y) of subcategories of an abelian category A is called a cotorsion
triple if (X, Z) and (Z, Y) are cotorsion pairs in A. The aim of this paper is to investigate …

In [8] Sake introduced the notion of a cotorsion pair (A, B) in the category of abelian groups.
But his definitions and basic results carry over to more general abelian categories and have …

Let R be a unital associative ring and V, W two classes of left R-modules. In this paper we
introduce the notion of a\left (V, W\right)-cotorsion pair. In analogy to classical cotorsion pairs …

We consider a complete hereditary cotorsion pair (A, B) in a Grothendieck category G such
that A contains a generator of finite projective dimension. The derived category D (B) of the …