| 陈炳辉,漆芝南.关于赋值环的单元群[J].数学研究及应用,1982,2(2):1~6 |
| 关于赋值环的单元群 |
| On Groups of Units of a Valuation Ring |
| 投稿时间：1981-05-20 |
| DOI：10.3770/j.issn:2095-2651.1982.02.001 |
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| 中文摘要: |
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| 英文摘要: |
| Let K be a field, K* be the multiplicative group of nonzero elements of K and S be a subgroup of K*. In this paper we show that S is a group of units of a valuation ring of K if and only if S satisfies the following conditions:1.a∈S implies -a∈S;2. for any a∈K*\S either a S?S or a-1 S?S. Additional properties cf such groups are included. |
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