Let R be a general ring. Duality pairs of R-modules were introduced by Holm-Jørgensen.
Most examples satisfy further properties making them what we call semi-complete duality …

Let ℱ 𝒫∞ R be the class of all left R-modules M which has a projective resolution by finitely
generated projectives. An exact sequence 0→ A→ B→ C→ 0 of right R-modules is called …

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 G (C, D)(l G …

本文我们给出了Gorenstein AC 投射模的类与投射余可解的Gorenstein 平坦模的类等价的条件,
证明了在凝聚环R 上, Gorenstein AC 投射模的类, 投射余可解的Gorenstein 平坦模的类与Ding …

研究了Cartan-EilenbergGorensteinAC-内射(投射) 复形的若干等价刻画ꎮ 证明了复形G
是Cartan-EilenbergGorenstein AC-内射(投射) 复形当且仅当G 具有Cartan-Eilenberg …

Let be a left Noetherian ring satisfying the Auslander condition. It is proven that a left-module
is Gorenstein injective if and only if is strongly cotorsion and for any injective left-module; a …

设R 是一个有单位元的结合环, C 是一个关于直和封闭且包含所有投射模的左R 模类.
介绍左R 模复形的C Gorenstein 投射维数的概念, 它是复形的Gorenstein …

Let A and B be rings and U a (B, A)-bimodule. If BU is flat and UA is finitely generated
projective (resp., BU is finitely generated projective and UA is flat), then the characterizations …

Let 𝒟 be either the category of R-modules or the category of chain complexes of R-modules
and ℳ a cofibrantly generated hereditary abelian model structure on 𝒟. First, we get a new …