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

Voir la notice de l'article

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 
@article{ARM_2001_37_1_a9,
     author = {Schwab, Emil D. and Silberberg, Gheorghe},
     title = {The valuated ring of the arithmetical functions as a power series ring},
     journal = {Archivum mathematicum},
     pages = {77--80},
     year = {2001},
     volume = {37},
     number = {1},
     mrnumber = {1822767},
     zbl = {1090.13016},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/ARM_2001_37_1_a9/}
}
TY  - JOUR
AU  - Schwab, Emil D.
AU  - Silberberg, Gheorghe
TI  - The valuated ring of the arithmetical functions as a power series ring
JO  - Archivum mathematicum
PY  - 2001
SP  - 77
EP  - 80
VL  - 37
IS  - 1
UR  - http://geodesic.mathdoc.fr/item/ARM_2001_37_1_a9/
LA  - en
ID  - ARM_2001_37_1_a9
ER  - 
%0 Journal Article
%A Schwab, Emil D.
%A Silberberg, Gheorghe
%T The valuated ring of the arithmetical functions as a power series ring
%J Archivum mathematicum
%D 2001
%P 77-80
%V 37
%N 1
%U http://geodesic.mathdoc.fr/item/ARM_2001_37_1_a9/
%G en
%F ARM_2001_37_1_a9
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/