In a recent article, the authors established an explicit description of kernels in the category of the formal group laws over the ring of Witt vectors over a finite field in terms of Fontaine’s triples. The present research is devoted to an adjacent problem of explicit description of cokernels. The technique developed is applied to a natural monomorphism from \(F_m\) to the Weil restriction of \(F_m\) with respect to certain ring extensions. Besides, we investigate some properties of the category of formal group laws over the ring of Witt vectors such as left and right integrability and left and right semi-abelianity.

中文翻译：

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正式团体法类别中的小茴香

在最近的一篇文章中，作者用Fontaine的三元组在有限域的Witt向量环上建立了形式群定律范畴内的核的显式描述。目前的研究致力于对玉米芯的显式描述的相邻问题。开发的技术被应用到一个自然的单态从\（F_M \）到的韦尔限制\（F_M \）相对于某些环扩展。此外，我们研究了维特向量环上的形式群定律范畴的一些性质，如左右可积性和左右半阿贝尔性。