Derivations and generating degrees in the ring of arithmetical functions |
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| Authors: | Alexandru Zaharescu Mohammad Zaki |
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| Affiliation: | (1) Department of Mathematics, University of Illinois at Urbana-Champaign, 1409 W. Green Street, Urbana, IL 61801, USA |
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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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| Keywords: | Derivations generating degrees arithmetical functions |
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