We generalize a well-known theorem binding the elementary equivalence relation on the level of PAC fields and the isomorphism type of their absolute Galois groups. Our results concern two cases: saturated PAC structures and nonsaturated PAC structures.

中文翻译：

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PAC 结构的基本等价定理

我们推广了一个著名的定理，该定理结合了 PAC 域水平上的基本等价关系及其绝对伽罗瓦群的同构类型。我们的结果涉及两种情况：饱和 PAC 结构和非饱和 PAC 结构。