Let A and B be rings, U a (B, A)-bimodule and \(T=\begin{pmatrix}A&{}0\\ U&{}B\end{pmatrix}\) a triangular matrix ring. In this paper, we firstly construct a right recollement of stable categories of Ding injective B-modules, Ding injective T-modules and Ding injective A-modules and then establish a recollement of stable categories of these modules.

中文翻译：

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Ding内射模块的归类

设A和B为环，U a（B，  A）-双模和\（T = \ begin {pmatrix} A＆{} 0 \\ U＆{} B \ end {pmatrix} \）为三角形矩阵环。在本文中，我们首先构造了丁内射B-模，丁内射T-模和丁内射A-模的稳定类别的正确归类，然后建立了这些模的稳定类别的归类。