论文标题
关于伪限制田地理论的主要模型不存在的注释
A note on the non-existence of prime models of theories of pseudo-finite fields
论文作者
论文摘要
我们表明,如果一个场a不是伪限的,那么对于A. gch,我们将这种结果推广到κ-prime模型,对于κA常规的无数基数或\Aleph_ε,我们将此结果推广到κ-prime模型。
We show that if a field A is not pseudo-finite, then there is no prime model of the theory of pseudo-finite fields over A. Assuming GCH, we generalise this result to κ-prime models, for κa regular uncountable cardinal or \aleph_ε.