In this paper, it is shown that if $p\in S(A)$ is a complete type of Lascar rank at least 2, in the theory of differentially closed fields of characteristic zero, then there exists a pair of realisations $a_1$, $a_2$ 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.

中文翻译：

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非极小度最多为 2

本文表明，如果$p\epsilon S（A）$是 Lascar 秩至少为 2 的完全类型，在特征为零的微分闭域理论中，则存在一对实现$A_1$,$A_2$使得p具有非代数分叉扩展$A{A}_1{A}_2$。此外，如果A包含在常量域中，则 p已经具有非代数分叉扩展$A{A}_1$。结果也是在更一般的环境中制定的。