Abstract One of the main goals of this paper is to present the relation between limit key polynomials and MacLane-Vaquie limit key polynomials. This is a continuation of the work started in [3] , where the equivalent result for key polynomials (which are not limit) is proved. Moreover, we present a result (Theorem 1.1) that generalizes various results in the literature.

中文翻译：

---

关于 MacLane-Vaquié 关键多项式

摘要 本文的主要目标之一是提出极限关键多项式和MacLane-Vaquie极限关键多项式之间的关系。这是 [3] 中开始的工作的延续，其中证明了关键多项式（不是极限）的等效结果。此外，我们提出了一个结果（定理 1.1），它概括了文献中的各种结果。