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.

中文翻译：

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FGF群环

如果每个有限生成的左R模都可以嵌入自由左R模中，则环R称为左 FGF 环。证明了群环RG是左 FGF 当且仅当R是左 FGF 且G是有限群。