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Injective Cogenerators, Cotilting Modules and Cosilting Modules

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Abstract

It is well known that the concept of cotilting modules generalizes injective cogenerators and in turn, the concept of cosilting modules generalizes cotilting modules. In this paper, we further investigate the close connections among injective cogenerators, cotilting modules and cosilting modules from the viewpoint of morphism categories. Some applications are also given.

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Acknowledgements

The author wants to express his gratitude to the referee for his/her careful reading of the paper and the very helpful suggestions.

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Authors and Affiliations

  1. School of Mathematics and Physics, Nanjing Institute of Technology, Nanjing, 211167, P. R. China

    Li Xin Mao

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  1. Li Xin Mao
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Correspondence to Li Xin Mao.

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Supported by NSFC (Grant Nos. 12171230, 12271249) and NSF of Jiangsu Province of China (Grant No. BK20211358)

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Mao, L.X. Injective Cogenerators, Cotilting Modules and Cosilting Modules. Acta. Math. Sin.-English Ser. 39, 1684–1700 (2023). https://doi.org/10.1007/s10114-023-1158-2

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  • DOI: https://doi.org/10.1007/s10114-023-1158-2

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