Cartan-Eilenberg projective, injective and flat complexes

X Zhai, C Zhang - Czechoslovak Mathematical Journal, 2016 - Springer
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 …

CARTAN–EILENBERG FP-INJECTIVE COMPLEXES

B Lu, Z Liu - Journal of the Australian Mathematical Society, 2017 - cambridge.org
In this article, we extend the notion of FP-injective modules to that of Cartan–Eilenberg
complexes. We show that a complex are complexes consisting of FP-injective modules over …

Cartan-Eilenberg N-complexes with respect to self-orthogonal subcategories

B Lu, Z Di, Y Liu - Frontiers of Mathematics in China, 2020 - Springer
Let R be an arbitrary associated ring. For an integer N⩾ 2 and a self-orthogonal subcategory
WW of R-modules, we study the notion of Cartan-Eilenberg W WN-complexes. We show that …

Version of A Generalization of Injective and Projective Complexes

T Ozen, E Yıldırım - arXiv preprint arXiv:1303.0524, 2013 - arxiv.org
Let $\mathcal {X} $ be a class of $ R $-modules. In this paper, we investigate\; $\mathcal {X}
$-(fg) injective ((fg) projective) and DG-$\mathcal {X} $-injective (projective) complexes …

Characterizations of some rings with C-projective, C-(FP)-injective and C-flat modules

XG Yan, XS Zhu - Czechoslovak mathematical journal, 2011 - Springer
Let R be a commutative ring and C a semidualizing R-module. We investigate the relations
between C-flat modules and C-FP-injective modules and use these modules and their …

[引用][C] Foxby equivalences of Cartan-Eilenberg complexes.

Z Chunxia, QUE Chunyue - Journal of Zhejiang University …, 2019 - search.ebscohost.com
Foxby equivalences of Cartan-Eilenberg complexes Page 1 浙 江 大 学 学 报(理学版) Journal of
Zhejiang University(Science Edition) http://www.zjujournals.com/sci 第 46 卷第 6 期 2019 年 11 …

On endo-prime and endo-coprime modules

H Mostafanasab, AY Darani - arXiv preprint arXiv:1503.00324, 2015 - arxiv.org
The aim of this paper is to investigate properties of endo-prime and endo-coprime modules
which are generalizations of prime and simple rings, respectively. Various properties of …

On QF rings and artinian principal ideal rings

A Alvarado-García, C Cejudo-Castilla… - Hacettepe Journal of …, 2019 - dergipark.org.tr
In this work we give sufficient conditions for a ring $ R $ to be quasi-Frobenius, such as $ R
$ being left artinian and the class of injective cogenerators of $ R $-Mod being closed under …

Restricted Projective, Injective and Flat Complexes

L Liang, Y Song - Bulletin of the Iranian Mathematical Society, 2021 - Springer
We introduce and study the notions of restricted projective, injective and flat complexes of
modules. It is shown in the paper that a complex C of modules is restricted projective if and …

DG-projective, injective and flat complexes

X Yang, Z Liu - Algebra Colloquium, 2013 - World Scientific
In this article, we characterize some rings in terms of the DG-projective, injective and flat
complexes. We also give some connections between DG-injective complexes and DG-flat …