We introduce a refinement of the Gorenstein flat dimension for complexes over an
associative ring—the Gorenstein flat-cotorsion dimension—and prove that it, unlike the …

For a commutative ring R and a faithfully flat R-algebra S we prove, under mild extra
assumptions, that an R-module M is Gorenstein flat if and only if the left S-module S⊗ RM is …

It is well-known that the weak global dimension of a ring does not exceed its global
dimension. Christensen et al. obtained a corresponding result in Gorenstein setting for …

Accepted Manuscript Page 1 Olgur Celikbas, Lars Winther Christensen, Li Liang, Greg
Piepmeyer Stable homology over associative rings Transactions of the American …

In this paper, we introduce and study the Gorenstein relative homology theory for
unbounded complexes of modules over arbitrary associative rings, which is defined using …

In this paper, we first study the Gorenstein projective/flat dimension of complexes of
modules. The relation between the Gorenstein projective/flat dimension for complexes and …

In this paper, we are concerned with Tate homology tor ̂ tor of modules of finite Gorenstein
FI-flat dimension. We determine connections between Tate, relative and absolute homology …

相对于半对偶模的Gorenstein平坦维数有限的模的Tate同调 Page 1 山东大学学报(理学版)2019年
12月第54卷第12期 E-mail:xblxb@sdu.edu.cn Journal of Shandong University (Natural …

We analyze stable homology over associative rings and obtain results over Artin algebras
and commutative noetherian rings. Our study develops similarly for these classes; for …

Given two complete hereditary cotorsion pairs (𝒬, ℛ) and (𝒬′, ℛ′) in the category of
modules which satisfy the conditions 𝒬′⊆ 𝒬, 𝒬∩ ℛ= 𝒬′∩ ℛ′, and ℛ′ is enveloping, a …