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 …

Full article: On Cotorsion Pairs of Chain Complexes Skip to Main Content Taylor and Francis
Online homepage Taylor and Francis Online homepage Log in | Register Cart 1.Home 2.All …

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 …

Let R be an associative ring with identity. The purpose of this paper is to establish relative
cohomology theories based on cotorsion pairs in the setting of unbounded complexes of …

Assume that S is an almost excellent extension of R. Using functors Hom< sub> R(S,−) and—
⊗< sub> RS, we establish some connections between classes of modules [Figure not …

In this article, FP-injective complexes are introduced and studied. We prove that (⊥ ℱℐ, ℱℐ)
is a hereditary cotorsion theory if and only if R is a left coherent ring, where ℱℐ denotes the …

Assume that (𝒜, ℬ) as well as (𝒞, 𝒟) form cotorsion theories of R-modules where R is an
integral domain. For R-modules A, B consider the R-module H= Hom R (A, B). Our main …

We introduce the notion of a duality pair and demonstrate how the left half of such a pair is"
often" covering and preenveloping. As an application, we generalize a result by Enochs et …

Let R! A be a homomorphism of associative rings, and let. F; C/be a hereditary complete
cotorsion pair in R-Mod. Let. FA; CA/be the cotorsion pair in A-Mod in which FA is the class …

Let $ R $ be a subring of the rationals. We want to investigate self splitting $ R $-modules $
G $(that is $\operatorname {Ext} _R (G, G)= 0) $. Following Schultz, we call such modules …