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Matematicheskie Trudy, 2019, Volume 22, Number 1, Pages 119–126
DOI: https://doi.org/10.33048/mattrudy.2019.22.105
(Mi mt350)
 

This article is cited in 1 scientific paper (total in 1 paper)

Rank functions for stable diagrams

K. Zh. Kudaĭbergenovab

a Department of Economics, KIMEP University, Almaty, 050010 Kazakhstan
b Institute of Mathematics and Mathematical Modeling, Almaty, 050010 Kazakhstan
Full-text PDF (172 kB) Citations (1)
References:
Abstract: Let $D$ be the diagram of a sufficiently homogeneous model. For types that are realized in this model, we introduce certain rank functions and prove the following assertions: (1) If, for each type, the rank is less than $\infty$ then the diagram is stable; (2) if the diagram $D$ is stable then the set of non-algebraic types of rank less than $\infty$ is large enough.
Key words: homogeneous model, rank, stable diagram.
Funding agency Grant number
Ministry of Education and Science of the Republic of Kazakhstan AP05130852
The work was partially supported by the Ministry of Education and Science of the Republic of Kazakhstan (grant AP05130852).
Received: 26.01.2018
Revised: 04.05.2018
Accepted: 23.05.2018
English version:
Siberian Advances in Mathematics, 2020, Volume 30, Issue 1, Pages 21–25
DOI: https://doi.org/10.3103/S1055134420010022
Bibliographic databases:
Document Type: Article
UDC: 510.67
Language: Russian
Citation: K. Zh. Kudaǐbergenov, “Rank functions for stable diagrams”, Mat. Tr., 22:1 (2019), 119–126; Siberian Adv. Math., 30:1 (2020), 21–25
Citation in format AMSBIB
\Bibitem{Kud19}
\by K.~Zh.~Kuda{\v\i}bergenov
\paper Rank functions for stable diagrams
\jour Mat. Tr.
\yr 2019
\vol 22
\issue 1
\pages 119--126
\mathnet{http://mi.mathnet.ru/mt350}
\crossref{https://doi.org/10.33048/mattrudy.2019.22.105}
\transl
\jour Siberian Adv. Math.
\yr 2020
\vol 30
\issue 1
\pages 21--25
\crossref{https://doi.org/10.3103/S1055134420010022}
\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-85081728337}
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  • https://www.mathnet.ru/eng/mt/v22/i1/p119
  • This publication is cited in the following 1 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    Математические труды Siberian Advances in Mathematics
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    Abstract page:301
    Full-text PDF :55
    References:50
    First page:9
     
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