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2022 Higher Derivations of Modules and the Hasse–Schmidt Module
Christopher Chiu, Luis Narváez Macarro
Michigan Math. J. Advance Publication 1-15 (2022). DOI: 10.1307/mmj/20205958

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 Kähler differentials of the Hasse–Schmidt algebra as a consequence of the fact that the Hasse–Schmidt algebra functors commute.

Dedication

Dedicated to Paulo Ribenboim

Citation

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Christopher Chiu. Luis Narváez Macarro. "Higher Derivations of Modules and the Hasse–Schmidt Module." Michigan Math. J. Advance Publication 1 - 15, 2022. https://doi.org/10.1307/mmj/20205958

Information

Received: 28 July 2020; Revised: 16 October 2020; Published: 2022
First available in Project Euclid: 29 April 2022

Digital Object Identifier: 10.1307/mmj/20205958

Subjects:
Primary: 13N05 , 13N15
Secondary: 14F10

Rights: Copyright © 2022 The University of Michigan

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