Higher Derivations of Modules and the Hasse–Schmidt Module

IF 0.8 3区数学 Q2 MATHEMATICS

Michigan Mathematical Journal Pub Date : 2020-07-28 DOI:10.1307/mmj/20205958

C. Chiu, L. N. Macarro

引用次数: 4

Abstract

In this paper we revisit Ribenboim's notion of higher derivations of modules and relate it to the recent work of De Fernex and Docampo on the sheaf of differentials of the arc space. In particular, we derive their formula for the Kahler differentials of the Hasse-Schmidt algebra as a consequence of the fact that the Hasse-Schmidt algebra functors commute.

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模的高阶导数与Hasse-Schmidt模

在本文中，我们回顾了Ribenboim关于模的高阶导数的概念，并将其与De Fernex和Docampo最近关于弧空间的微分束的工作联系起来。特别地，我们推导了Hasse-Schmidt代数的Kahler微分的公式，作为Hasse-Schmidt代数函子交换的结果。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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来源期刊

Michigan Mathematical Journal 数学-数学

CiteScore

1.20

自引率

11.10%

发文量

审稿时长

>12 weeks

期刊介绍： The Michigan Mathematical Journal is available electronically through the Project Euclid web site. The electronic version is available free to all paid subscribers. The Journal must receive from institutional subscribers a list of Internet Protocol Addresses in order for members of their institutions to have access to the online version of the Journal.