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JOURNALS // Matematicheskie Zametki // Archive
Mat. Zametki, 2007 Volume 82, Issue 6, Pages 891–893 (Mi mzm4188)
Description of the Endomorphisms of the Algebra of Arithmetic Functions with the Operations of Addition and Superposition

E. A. Polyakov

Shuya State Pedagogical University

Abstract: 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, superposition algebra.

UDC: 512.57

Received: 03.10.2005
Revised: 29.12.2006

DOI: 10.4213/mzm4188


 English version: Mathematical Notes, 2007, 82:6, 803–805

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© Steklov Math. Inst. of RAS, 2024