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Algebra i logika, 2016, Volume 55, Number 3, Pages 328–340
DOI: https://doi.org/10.17377/alglog.2016.55.303 (Mi al744) 		 
This article is cited in 5 scientific papers (total in 5 papers)

Embeddability of the semilattice $\mathbf{L^0_m}$ in Rogers semilattices

B. S. Kalmurzaev

Al-Farabi Kazakh National University, Al-Farabi Ave. 71, Alma-Ata, 050038 Kazakhstan
Full-text PDF (171 kB) Citations (5)
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DOI: https://doi.org/10.17377/alglog.2016.55.303
Abstract: We give sufficient conditions under which an upper semilattice of computably enumerable $\mathbf m$-degrees is isomorphic to an ideal of a Rogers semilattice of a two-element family of sets in the Ershov hierarchy. It is shown that the given conditions are not necessary.
Keywords: computably enumerable $\mathbf m$-degrees, Rogers semilattice, Ershov hierarchy.
Funding agency Grant number
Ministry of Education and Science of the Republic of Kazakhstan ГФ4/3953
Supported by the Kazakhstan Science Committee, grant No. GF4/3953.
Received: 07.04.2015
Revised: 24.08.2015
English version:
Algebra and Logic, 2016, Volume 55, Issue 3, Pages 217–225
DOI: https://doi.org/10.1007/s10469-016-9390-9
Bibliographic databases:
Document Type: Article
UDC: 510.54
Language: Russian
Citation: B. S. Kalmurzaev, “Embeddability of the semilattice $\mathbf{L^0_m}$ in Rogers semilattices”, Algebra Logika, 55:3 (2016), 328–340; Algebra and Logic, 55:3 (2016), 217–225
Citation in format AMSBIB
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\paper Embeddability of the semilattice $\mathbf{L^0_m}$ in Rogers semilattices
\jour Algebra Logika
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\vol 55
\issue 3
\pages 328--340
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\issue 3
\pages 217--225
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    • This publication is cited in the following 5 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Алгебра и логика Algebra and Logic
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