| 群环的代数结构 |
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| 引用本文： | 杨同海. 群环的代数结构[J]. 中国科学技术大学学报, 1990, 20(4): 405-411 |
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| 作者姓名： | 杨同海 |
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| 作者单位： | 中国科技大学数学系 |
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| 摘 要： | 设R 是有单位元的环,G 是一个群.本文主要证明了:(1)群环RG 是左fp一自内射环当且仅当R 是左fp 一自内射环且G 是局部有限群;(2)RG 是左IF 环当且仅当R 是左IF 环且G 是局部有限群:(3)刻化了凝聚群环和半遗传群环的特征.
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| 关 键 词： | 群环 fp－自内射环 IF环凝聚环 |
On the Algebraic Structure of Group Rings |
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| Yang Tonghai. On the Algebraic Structure of Group Rings[J]. Journal of University of Science and Technology of China, 1990, 20(4): 405-411 |
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| Authors: | Yang Tonghai |
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| Affiliation: | Department of Mathematics |
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| Abstract: | Let R be a ring and G a group.Then R is a left self-fp-injective(left IF)ring if and only if R is a left self-fp-injective(left IF)ring and G is a locally finite group.When G is abelian,the coherenceand semihereditarity of RG are also characterized in this sequel. |
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| Keywords: | group ring self-fp-injective ring IF ring coherent ring locally finite group. |
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