Geodesic
Description of the Endomorphisms of the Algebra of Arithmetic Functions with the Operations of Addition and Superposition
Matematičeskie zametki, Tome 82 (2007) no. 6, pp. 891-893.

Voir la notice de l'article provenant de la source Math-Net.Ru

In this note, a description of all endomorphisms of the algebra of one-place arithmetic functions with the operations of addition and superposition of two functions is given.
Keywords: algebra endomorphism, one-place arithmetic function
Mots-clés : superposition algebra. 
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     title = {Description of the {Endomorphisms} of the {Algebra} of {Arithmetic} {Functions} with the {Operations} of {Addition} and {Superposition}},
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E. A. Polyakov. Description of the Endomorphisms of the Algebra of Arithmetic Functions with the Operations of Addition and Superposition. Matematičeskie zametki, Tome 82 (2007) no. 6, pp. 891-893. http://geodesic.mathdoc.fr/item/MZM_2007_82_6_a8/

[1] A. I. Maltsev, “Konstruktivnye algebry I”, UMN, 16:3 (1961), 3–60 | MR | Zbl

[2] E. A. Polyakov, “O nekotorykh svoistvakh algebr rekursivnykh funktsii”, Algebra i logika, 3:3 (1964), 39–57 | MR | Zbl