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 …

Gillespie posed two questions in [Front. Math. China 12 (2017) 97-115], one of which states
that “for what rings R do we have K (AC)= K (R-Inj)?”. We give an answer to such a question …

Let G be a closed symmetric monoidal concrete Grothendieck category. In this paper, we
introduce a model structure on (CN (G), P⊗ dw) the exact category of N-complexes with the …

For an integer N≥ 2 and three subcategories 𝒲, 𝒳, 𝒴 of modules, we study the notion of (𝒲,
𝒳, 𝒴)-Gorenstein N-complexes. We show that under certain hypotheses, an N-complex C is …

We establish some relationships between Gorenstein AC-projective modules and
Gorenstein AC-flat modules. As applications, we obtain some new characterizations of …

We study the notion of Cartan-Eilenberg Gorenstein projective N-complexes. We show that
an N-complex G is Cartan-Eilenberg Gorenstein projective if and only if Gn, Z nt (G), B nt (G) …

Cartan-Eilenberg Gorenstein-injective m-complexes Page 1 http://www.aimspress.com/journal/Math
AIMS Mathematics, 6(5): 4306–4318. DOI:10.3934/math.2021255 Received: 30 October …