Let ℱ be a class of R-modules.#-ℱ complexes are introduced and investigated in this article.
We say that a complex C is a#-ℱ complex if all terms C i are in ℱ for i∈ ℤ, and we denote …

In this paper, we study Cartan-Eilenberg Gorenstein flat complexes. We show that over
coherent rings a Cartan-Eilenberg Gorenstein flat complex can be gotten by a so-called …

令dwI 表示所有#-内射左R-模复形构成的类(即内射左R-模的复形构成的类).
本文证明了在左诺特环R 上(⊥(dwI), dwI) 是完备的内射余挠对. 特别地, 我们得到每个左R …

We consider a ring R such that the class of Gorenstein injective modules is closed under
direct limits. We prove that the class of dg-Gorenstein injective complexes is covering in Ch …

A complex C of R-modules is called#-injective if all terms Ci are injective R-modules for i∈
ℤ. In this paper, we first give some characterizations and properties of#-injective complexes …

摘要长期以来图灵度形成的偏序结构D=(D,≤) 是递归论的一个主要研究对象,
对其子结构R=(R,≤) 的研究则是一个重要分支. 这里R 是所有递归可枚举度的集合 …

In this paper, we study the class of complexes of FP-injective left R-modules. It is shown that
the pair is a complete cotorsion pair. If R is a left coherent ring, it is proved that every …

The notion of an $\mathcal {L} $ complex (for a given class of $ R $-modules $\mathcal {L} $)
was introduced by Gillespie: a complex $ C $ is called $\mathcal {L} $ complex if $ C $ is …

Let dwI denote the class of#-injective complexes of left R-modules (ie, complexes of injective
left R-modules). We prove that over left noetherian rings R, the pair (⊥(dwI), dwI) is a perfect …

Let R be an associative ring with identity and F a class of R-modules. In this article: we first
give a detailed treatment of Cartan-Eilenberg F complexes and extend the basic properties …