We characterize Ding modules and complexes over Ding-Chen rings. We show that, over a
Ding-Chen ring R, the Ding projective (respectively, Ding injective, respectively, Ding flat) R …

A recent result by J. Šaroch and J. Šťovíček asserts that there is a unique abelian model
structure on the category of left R-modules, for any associative ring R with identity, whose …

ABSTRACT A natural generalization of locally noetherian and locally coherent categories
leads us to define locally type FP∞ categories. They include not just all categories of …

In this paper, we construct some non-integrally closed domains in Gorenstein multiplicative
ideal theory. For example, we show that there exists a Gorenstein Prüfer domain which is …

The definition of a pseudo-dualizing complex is obtained from that of a dualizing complex by
dropping the injective dimension condition, while retaining the finite generatedness and …

The present article studies homological and homotopical aspects of FP n-injective and FP n-
flat complexes, and describes homological dimensions associated to them. After …

Let R be any ring with identity and Ch (R) C h (R) the category of chain complexes of (left) R-
modules. We show that the Gorenstein AC-projective chain complexes of 1 are the cofibrant …

We introduce what is meant by an AC-Gorenstein ring. It is a generalized notion of
Gorenstein ring that is compatible with the Gorenstein AC-injective and Gorenstein AC …

引入了投射余分解Gorenstein 平坦复形的概念. 证明了对任意结合环R, G 是投射余分解
Gorenstein 平坦复形当且仅当每个层次的R-模G m 是投射余分解Gorenstein 平坦模, 其中∀ …

In this paper, we generalize the idea of Song, Zhao and Huang [Czechoslov. Math. J., 70,
483–504 (2020)] and introduce the notion of right (left) Gorenstein subcategory\(r {\cal …