| 佟文廷.PF环与群环的Grothendieck群[J].数学研究及应用,1990,10(2):157~162 |
| PF环与群环的Grothendieck群 |
| PF -rings and the Grethendieck groups of groups rings |
| 投稿时间：1988-08-02 |
| DOI：10.3770/j.issn:1000-341X.1990.02.001 |
| 中文关键词: |
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| 基金项目:国家自然科学基金资助项目. |
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| 英文摘要: |
| Let R be a commutative ring with 1, G an Abelian group, RG the group ring on R and G. In this paper we gave some properties of PF- rings in which f. g. projective modules are free. The Grothendieck groups K0(RG) for some cases are given. In addition, for the ring R with the unimodular column property, we proved the following result: K0(RG) ≈K0(R), hence if R ∈PF, then K0(RG)≈Z . |
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