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Generalized Tilting Modules Over Ring Extension

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Abstract

Let Γ be a ring extension of R. We show the left Γ-module U = Γ Ⓧr C with the endmorphism ring EndΓU = Δ is a generalized tilting module when RC is a generalized tilting module under some conditions.

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Acknowledgement

The authors would like to express their sincere thanks to the referee for his or her careful reading of the manuscript and helpful suggestions.

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Correspondence to Zhen Zhang.

Additional information

This research was partially supported by the ShanDong Provincial Natural Science Foundation of China (No. ZR2015PA001) and National Natural Science Foundation of China (No. 11371196).

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Zhang, Z. Generalized Tilting Modules Over Ring Extension. Czech Math J 69, 801–810 (2019). https://doi.org/10.21136/CMJ.2019.0512-17

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  • DOI: https://doi.org/10.21136/CMJ.2019.0512-17

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