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Derivations and generating degrees in the ring of arithmetical functions

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Abstract

In this paper we study a family of derivations in the ring of arithmetical functions of several variables over an integral domain, and compute the generating degrees of the ring of arithmetical functions over the kernel of these derivations.

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Authors and Affiliations

  1. Department of Mathematics, University of Illinois at Urbana-Champaign, 1409 W. Green Street, Urbana, IL, 61801, USA

    Alexandru Zaharescu & Mohammad Zaki

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  1. Alexandru Zaharescu
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  2. Mohammad Zaki
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Zaharescu, A., Zaki, M. Derivations and generating degrees in the ring of arithmetical functions. Proc Math Sci 117, 167–175 (2007). https://doi.org/10.1007/s12044-007-0012-2

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  • DOI: https://doi.org/10.1007/s12044-007-0012-2

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