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

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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.
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/
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[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