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Sibirskii Matematicheskii Zhurnal, 2014, Volume 55, Number 1, Pages 156–164 (Mi smj2521)  
This article is cited in 4 scientific papers (total in 4 papers)

Nonpresentability of the semigroup $\omega^\omega$ over $\mathbb{HF(R)}$

A. S. Morozovab

a Sobolev Institute of Mathematics, Novosibirsk, Russia
b Novosibirsk State University, Novosibirsk, Russia
Full-text PDF (312 kB) Citations (4)
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Abstract: We prove that the semigroup of all functions from the set of natural numbers to natural numbers by composition has no one-valued $\Sigma$-presentations with parameters over the hereditarily finite superstructure over the real numbers.
Keywords: definability, computability, sigma-definability, sigma-presentability, semigroup of mappings.
Received: 23.04.2013
English version:
Siberian Mathematical Journal, 2014, Volume 55, Issue 1, Pages 125–131
DOI: https://doi.org/10.1134/S0037446614010157
Bibliographic databases:
Document Type: Article
UDC: 510.5
Language: Russian
Citation: A. S. Morozov, “Nonpresentability of the semigroup $\omega^\omega$ over $\mathbb{HF(R)}$”, Sibirsk. Mat. Zh., 55:1 (2014), 156–164; Siberian Math. J., 55:1 (2014), 125–131
Citation in format AMSBIB
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    • This publication is cited in the following 4 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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