Abstract: Viewing modules M_S^-1R over a fractional ring S^-1R of a ring R as modules M_R over R, It is proved that some model-theoretic properties of modules, such as purity, pure embedding, elementary equivalence, elementary embedding, are preserved. The relations of such properties between M_R and (S^-1M)_S^-1R are also considered.

Key words: model theory, theory of modules, fractional ring, fractional module

摘要： 将环R的分式环S^-1R上的模M_S^-1R“限制”到R上时，模理论的纯性、纯入射性、初等等价、初等嵌入等模型论性质都是保持的。还讨论了(S^-1M)_S^-1R与M_R之间模型论性质的保持性。

关键词: 模型论, 模理论, 分式环, 分式模