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A Characterization of n-Gorenstein Tilting Comodules

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Abstract

The aim of this paper is to introduce the concept of n-Gorenstein tilting comodules and study its main properties. This concept generalizes the notion of n-tilting comodules of finite injective dimensions to the case of finite Gorenstein injective dimensions. As an application of our results, we discuss the problem of existence of complements to partial n-Gorenstein tilting comodules.

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Data Availability

The datasets analysed during the current study are available from the corresponding author on reasonable request.

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Acknowledgements

The authors would like to express their gratitude to the referee for the very help comments and suggestions.

Funding

This work was financially supported by National Natural Science Foundation of China (Grant No. 12071120).

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Authors and Affiliations

  1. Faculty of Science, College of Mathematics, Beijing University of Technology, Beijing, 100124, China

    Yexuan Li & Hailou Yao

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  1. Yexuan Li
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  2. Hailou Yao
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Contributions

All authors contributed to the study conception and design. Material preparation, data collection and analysis were performed by YL and HY. The first draft of the manuscript was written by YL and all authors commented on previous versions of the manuscript. All authors read and approved the final manuscript.

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Correspondence to Hailou Yao.

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Communicated by Bernhard Keller.

This work was financially supported by National Natural Science Foundation of China (Grant No. 12071120).

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Li, Y., Yao, H. A Characterization of n-Gorenstein Tilting Comodules. Appl Categor Struct 30, 1135–1152 (2022). https://doi.org/10.1007/s10485-022-09688-8

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