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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.
Received: 03.10.2005 Revised: 29.12.2006
Citation:
E. A. Polyakov, “Description of the Endomorphisms of the Algebra of Arithmetic Functions with the Operations of Addition and Superposition”, Mat. Zametki, 82:6 (2007), 891–893; Math. Notes, 82:6 (2007), 803–805
Linking options:
https://www.mathnet.ru/eng/mzm4188https://doi.org/10.4213/mzm4188 https://www.mathnet.ru/eng/mzm/v82/i6/p891
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