Let $ T=\biggl (\begin {matrix} A&0\\U&B\end {matrix}\biggr) $ be a formal triangular matrix
ring, where $ A $ and $ B $ are rings and $ U $ is a $(B, A) $-bimodule. We prove that:(1) If …

Full article: Ding projective modules over Morita context rings Skip to Main Content Taylor
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Let 𝒜 be an abelian category. In this paper, we investigate the global (𝒳, 𝒴)-Gorenstein
projective dimension gl. GPD (𝒳, 𝒴)(𝒜), associated to a GP-admissible pair (𝒳, 𝒴). We give …

Motivated by some properties satisfied by Gorenstein projective and Gorenstein injective
modules over an Iwanaga-Gorenstein ring, we present the concept of left and right n …

Let $ R $ be a Ding-Chen ring. Yang\cite {Yang2012} and Zhang\cite {Zhang2015} asked
whether or not every $ R $-module has finite Ding projective or Ding injective dimension. In …

Let (A, B) be a GP-admissible pair and (Z, W) be a GI-admissible pair of classes of objects in
an abelian category C, and consider the class π GP (ω, B, 1) of 1-periodic (ω, B)-Gorenstein …

The concepts of Ding projective, injective R-modules were first introduced by Ding and his
partners in [J. Aust. Math. Soc., 86 (2009), 323–338] and [J. Algebra Appl., 7 (4)(2008), 491 …

Let $(\mathcal {A, B}) $ be a GP-admissible pair and $(\mathcal {Z, W}) $ be a GI-admissible
pair of classes of objects in an abelian category $\mathcal {C} $, and consider the class …

We introduce the relative derived categories with respect to Ding modules, and give the
relation with derived and Gorenstein derived categories. Especially, a triangle-equivalence …

关于对偶对的相对导出范畴 Page 1 山东大学学报(理学版)2022年2月第57卷第2期 E-mail:xblxb@sdu.edu.cn
Journal of Shandong University (Natural Science)ꎬ Vol.57ꎬ No.2ꎬ 2022 http:/ / lxbwk.njournal.sdu.edu.cn …