论文标题

非最小程度最多是两个

The degree of nonminimality is at most two

论文作者

Freitag, James, Jaoui, Rémi, Moosa, Rahim

论文摘要

结果表明,如果$ p $是$ a $的全部类型,那么在$ a $的理论中,特征性零的差异为$ a $,那么存在一对实现,$ a_1 $ and $ a_2 $,因此$ p $具有非代价的叉车延伸超过$ a,a_1,a_1,a_1,a_1,a_1,a_2 $。此外,如果$ a $包含在常数字段中,那么$ p $已经在$ a,a_1 $上的非代数分叉扩展。结果还以更一般的环境制定。

It is shown that if $p$ is a complete type of Lascar rank at least 2 over $A$, in the theory of differentially closed fields of characteristic zero, then there exists a pair of realisations, $a_1$ and $a_2$, such that $p$ has a nonalgebraic forking extension over $A,a_1,a_2$. Moreover, if $A$ is contained in the field of constants then $p$ already has a nonalgebraic forking extension over $A,a_1$. The results are also formulated in a more general setting.

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