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A generalization of silting modules and Tor-tilting modules

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Abstract

We introduce the concept of weak silting modules, which is a generalization of both silting modules and Tor-tilting modules. It is shown that W is a weak silting module if and only if its character module W+ is cosilting. Some properties of weak silting modules are given.

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Acknowledgements

The author wants to express his gratitude to the referees for the very helpful comments and suggestions. This work was supported in part by the National Natural Science Foundation of China (Grant No. 11771202).

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  1. Department of Mathematics and Physics, Nanjing Institute of Technology, Nanjing, 211167, China

    Lixin Mao

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  1. Lixin Mao
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Correspondence to Lixin Mao.

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Mao, L. A generalization of silting modules and Tor-tilting modules. Front. Math. China 17, 715–730 (2022). https://doi.org/10.1007/s11464-021-0926-5

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  • DOI: https://doi.org/10.1007/s11464-021-0926-5

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