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Recollements from Ding Injective Modules

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Abstract

Let A and B be rings, U a (BA)-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.

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Acknowledgements

The authors would like to express sincere thanks to referees for their valuable suggestions and comments, which have greatly improved the paper. This work was supported by National Natural Science Foundation of China (No. 11561061).

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Correspondence to Zhanping Wang.

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Communicated by Shiping Liu.

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Wang, M., Wang, Z. & Yang, . Recollements from Ding Injective Modules. Bull. Malays. Math. Sci. Soc. 44, 1459–1469 (2021). https://doi.org/10.1007/s40840-020-01017-3

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  • DOI: https://doi.org/10.1007/s40840-020-01017-3

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