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FGF group rings
Periodica Mathematica Hungarica ( IF 0.6 ) Pub Date : 2021-08-04 , DOI: 10.1007/s10998-021-00412-y
Liang Shen 1
Affiliation  

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:

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。

更新日期:2021-08-10
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