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FGF group rings

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Abstract

A ring R is called a left FGF ring if every finitely generated left R-module can be embedded in a free left R-module. It is proved that a group ring RG is left FGF if and only if R is left FGF and G is a finite group.

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Acknowledgements

The author would like to thank the referee for the kind comment. The research is supported by the National Natural Science Foundation of China (No. 11871145 and 12071070).

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  1. School of Mathematics, Southeast University, Nanjing, 210096, China

    Liang Shen

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  1. Liang Shen
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Correspondence to Liang Shen.

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Shen, L. FGF group rings. Period Math Hung 84, 358–360 (2022). https://doi.org/10.1007/s10998-021-00412-y

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  • DOI: https://doi.org/10.1007/s10998-021-00412-y

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