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Algebra i logika, 2011, Volume 50, Number 5, Pages 659–684 (Mi al507)  

This article is cited in 7 scientific papers (total in 7 papers)

$\Sigma$-uniform structures and $\Sigma$-functions. I

A. N. Khisamiev

Sobolev Institute of Mathematics, Siberian Branch, Russian Academy of Sciences, Novosibirsk, Russia
Full-text PDF (271 kB) Citations (7)
References:
Abstract: The concept of a $\Sigma$-uniform structure is introduced. A condition is derived which is necessary and sufficient for a universal $\Sigma$-function to exist in a hereditarily finite admissible set over a $\Sigma$-uniform structure.
Keywords: hereditarily finite admissible set, $\Sigma$-definability, universal $\Sigma$-function, $\Sigma$-uniform structure.
Received: 24.11.2010
Revised: 05.06.2011
English version:
Algebra and Logic, 2011, Volume 50, Issue 5, Pages 447–465
DOI: https://doi.org/10.1007/s10469-011-9155-4
Bibliographic databases:
Document Type: Article
UDC: 512.540+510.5
Language: Russian
Citation: A. N. Khisamiev, “$\Sigma$-uniform structures and $\Sigma$-functions. I”, Algebra Logika, 50:5 (2011), 659–684; Algebra and Logic, 50:5 (2011), 447–465
Citation in format AMSBIB
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  • https://www.mathnet.ru/eng/al/v50/i5/p659
    Cycle of papers
    This publication is cited in the following 7 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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