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Diskretnyi Analiz i Issledovanie Operatsii, 2016, Volume 23, Issue 3, Pages 81–92
DOI: https://doi.org/10.17377/daio.2016.23.518 (Mi da853) 		 
This article is cited in 1 scientific paper (total in 1 paper)

On maximal subalgebras of the algebras of unary recursive functions

S. S. Marchenkov

Moscow State University, 1 Leninskie gory, 119991 Moscow, Russia
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DOI: https://doi.org/10.17377/daio.2016.23.518
Abstract: We consider the algebras of unary functions with supports in countable primitively recursively closed classes and composition operation. Each algebra of this type is proved to have continuum many maximal subalgebras including the set of all unary functions of the class $\mathcal E^2$ of the Grzegorczyk hierarchy. Bibliogr. 13.
Keywords: maximal subalgebra, unary recursive function.
Funding agency Grant number
Russian Foundation for Basic Research 16-01-00593
Received: 03.12.2015
Revised: 26.04.2016
English version:
Journal of Applied and Industrial Mathematics, 2016, Volume 10, Issue 3, Pages 380–385
DOI: https://doi.org/10.1134/S199047891603008X
Bibliographic databases:
Document Type: Article
UDC: 519.716
Language: Russian
Citation: S. S. Marchenkov, “On maximal subalgebras of the algebras of unary recursive functions”, Diskretn. Anal. Issled. Oper., 23:3 (2016), 81–92; J. Appl. Industr. Math., 10:3 (2016), 380–385
Citation in format AMSBIB
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\by S.~S.~Marchenkov
\paper On maximal subalgebras of the algebras of unary recursive functions
\jour Diskretn. Anal. Issled. Oper.
\yr 2016
\vol 23
\issue 3
\pages 81--92
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\transl
\jour J. Appl. Industr. Math.
\yr 2016
\vol 10
\issue 3
\pages 380--385
\crossref{https://doi.org/10.1134/S199047891603008X}
\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-84983493346}
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    • This publication is cited in the following 1 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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    		Дискретный анализ и исследование операций
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