Geodesic
The valuated ring of the arithmetical functions as a power series ring
Archivum mathematicum, Tome 37 (2001) no. 1, pp. 77-80 Cet article a éte moissonné depuis la source Czech Digital Mathematics Library

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The paper examines the ring $A$ of arithmetical functions, identifying it to the domain of formal power series over ${\bf C}$ in a countable set of indeterminates. It is proven that $A$ is a complete ultrametric space and all its continuous endomorphisms are described. It is also proven that $A$ is a quasi-noetherian ring.
The paper examines the ring $A$ of arithmetical functions, identifying it to the domain of formal power series over ${\bf C}$ in a countable set of indeterminates. It is proven that $A$ is a complete ultrametric space and all its continuous endomorphisms are described. It is also proven that $A$ is a quasi-noetherian ring.
Classification : 13F25, 13F30
Keywords: arithmetical function; valuated ring; formal power series 
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     title = {The valuated ring of the arithmetical functions as a power series ring},
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}
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Schwab, Emil D.; Silberberg, Gheorghe. The valuated ring of the arithmetical functions as a power series ring. Archivum mathematicum, Tome 37 (2001) no. 1, pp. 77-80. http://geodesic.mathdoc.fr/item/ARM_2001_37_1_a9/

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