Let R be a ring and X a chain complex of R-modules. It is proven that if each term X_i X i is
Ding injective in R-Mod for all i ∈ Z i∈ Z, and there exists an integer k such that each Z _iX …

For any group $ G $, the Gorenstein homological dimension ${\rm Ghd} _RG $ is defined to
be the Gorenstein flat dimension of the coefficient ring $ R $, which is considered as an …

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 …

Let 𝒜 be an abelian category with enough projectives. In the category of 𝒜-complexes, we
introduce generalized Tate cohomology with respect to subcategories, and show that there …

From the notion of (co) generator in relative homological algebra, we present the concept of
finite balanced system $[(\mathcal {X},\omega);(\nu,\mathcal {Y})] $ as a tool to induce …