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Sibirskii Matematicheskii Zhurnal, 2010, Volume 51, Number 3, Pages 676–693 (Mi smj2117)  
This article is cited in 8 scientific papers (total in 8 papers)

$\Sigma$-bounded algebraic systems and universal functions. II

A. N. Khisamiev

Sobolev Institute of Mathematics, Siberian Branch of the Russian Academy of Sciences, Novosibirsk
Full-text PDF (397 kB) Citations (8)
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Abstract: Ershov algebras, Boolean algebras, and abelian $p$-groups are $\Sigma$-bounded systems, and there exist universal $\Sigma$-functions in hereditarily finite admissible sets over them.
Keywords: admissible set, $\Sigma$-definability, computability, universal $\Sigma$-function, $\Sigma$-bounded algebraic system, Ershov algebra, Boolean algebra, abelian $p$-group.
Received: 28.10.2008
English version:
Siberian Mathematical Journal, 2010, Volume 51, Issue 3, Pages 537–551
DOI: https://doi.org/10.1007/s11202-010-0056-x
Bibliographic databases:
Document Type: Article
UDC: 512.540+510.5
Language: Russian
Citation: A. N. Khisamiev, “$\Sigma$-bounded algebraic systems and universal functions. II”, Sibirsk. Mat. Zh., 51:3 (2010), 676–693; Siberian Math. J., 51:3 (2010), 537–551
Citation in format AMSBIB
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    Cycle of papers
    This publication is cited in the following 8 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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