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 …

关于DG-Gorenstein AC-内射复形的一个注记

汪鑫, 卢博 - 《 山东大学学报(理学版)》, 2023 - lxbwk.njournal.sdu.edu.cn
关于DG-Gorenstein AC-内射复形的一个注记 Page 1 山东大学学报(理学版)2023年2月第58卷
第2期 E-mail:xblxb@sdu.edu.cn Journal of Shandong University(Natural Science)ꎬ Vol.58ꎬ …

关于DG-Ding 内射复形的一个注记

刘一甫, 卢博 - 《 山东大学学报(理学版)》, 2021 - lxbwk.njournal.sdu.edu.cn
关于DG-Ding内射复形的一个注记 Page 1 山东大学学报(理学版)2021年8月第56卷第8期 E-mail:xblxb@sdu.edu.cn
Journal of Shandong University (Natural Science)ꎬ Vol.56ꎬ No.8ꎬ 2021 http:/ / lxbwk.njournal.sdu.edu.cn …

A note on DG-Gorenstein injective complexes

B Lu, K Lan - Algebra Colloquium, 2020 - World Scientific
The notion of DG-Gorenstein injective complexes is studied in this article. It is shown that a
complex G is DG-Gorenstein injective if and only if G is exact with Z n (G) Gorenstein …

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 …

A note on Gorenstein projective complexes

B Lu, LIU Zhongkui - Turkish Journal of Mathematics, 2016 - journals.tubitak.gov.tr
As we know, a complex $ Q $ is projective if and only if $ Q $ is exact and $\mathrm {Z} _n
(Q) $ is projective in $ R $-$\mathrm {Mod} $ for each $ n\in\mathbb {Z} $. In this article, we …

Gorenstein projective objects in homotopy categories

L Bo, L Zhongkui - arXiv preprint arXiv:1604.01549, 2016 - arxiv.org
In this paper, we are concerned with Gorenstein projective objects in homotopy categories.
Specifically, we present a characterization on Gorenstein projective objects in the category …