Let V be a valuation domain and let E be a subset of V. For a rank-one valuation domain V, there is a characterization of when $\mathrm{Int}(E,V)$ is a Prüfer domain. For a general valuation domain V, we show that $\mathrm{Int}(E,V)$ is a Prüfer domain if and only if E is precompact, or there exists a rank-one prime ideal P of V and $\mathrm{Int}(E,V_P)$ is a Prüfer domain. Then we show that the following statements are equivalent: (1) $\mathrm{Int}(E,V)$ is a Prüfer domain; (2) it has the strong 2-generator property; (3) it has the almost strong Skolem property. In this case, by showing that $\mathrm{Int}(E,V)$ is almost local-global, we obtain that it has the stacked bases property and the Steinitz property. For a Prüfer domain D, we show that the following statements are equivalent: (1) $\mathrm{Int}(D)$ is a Prüfer domain; (2) it has the 2-generator property; (3) it has the almost strong Skolem property. In this case, $\mathrm{Int}(D)$ is not necessarily almost local-global, but we show that it has the Steinitz property.

设V为估值域，设E为V的子集。对于排名第一的评估域V，其特征在于$\mathrm{诠释}（E，\mathrm{伏特}）$是Prüfer网域。对于一般估值域V，我们表明$\mathrm{诠释}（E，\mathrm{伏特}）$是Prüfer域当且仅当Ë是precompact，或存在秩一素理想P的V和$\mathrm{诠释}（E，{\mathrm{伏特}}_P）$是Prüfer网域。然后我们证明以下语句是等效的：（1）$\mathrm{诠释}（E，\mathrm{伏特}）$是Prüfer域；（2）具有很强的两发电机特性；（3）它具有几乎很强的Skolem属性。在这种情况下，通过显示$\mathrm{诠释}（E，\mathrm{伏特}）$几乎是局部全局的，我们得到它具有stacked bases属性和Steinitz属性。对于Prüfer域D，我们证明下面的语句是等价的：（1）$\mathrm{诠释}（d）$是Prüfer域；（2）具有2-发电机性质；（3）它具有几乎很强的Skolem属性。在这种情况下，$\mathrm{诠释}（d）$ 不一定是局部全局的，但我们证明它具有Steinitz属性。