The valuated ring of the arithmetical functions as a power series ring
Schwab, Emil Daniel ; Silberberg, Gheorghe
Archivum Mathematicum, Tome 037 (2001), p. 77-80 / Harvested from 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.

Publié le : 2001-01-01
Classification:  13F25,  13F30 
@article{107789,
     author = {Emil Daniel Schwab and Gheorghe Silberberg},
     title = {The valuated ring of the arithmetical functions as a power series ring},
     journal = {Archivum Mathematicum},
     volume = {037},
     year = {2001},
     pages = {77-80},
     zbl = {1090.13016},
     mrnumber = {1822767},
     language = {en},
     url = {http://dml.mathdoc.fr/item/107789}
}

Schwab, Emil Daniel; Silberberg, Gheorghe. The valuated ring of the arithmetical functions as a power series ring. Archivum Mathematicum, Tome 037 (2001) pp. 77-80. http://gdmltest.u-ga.fr/item/107789/

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