Author(s): Chen Binghui Qi Zhinan
Pages: 1-6
Year: 1982 Issue:  2
Journal: Journal of Mathematical Research and Exposition
Keyword:  子群; 赋值环; 对称性; 乘法群; 子环; 引理; 充要条件; 有性; 相矛盾; 定理1;
Abstract: Let K be a field, Kbe 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. implies ;2. for any either or . Additional properties cf such groups are included.