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Algebra i logika, 2013, Volume 52, Number 5, Pages 606–631 (Mi al607)  
This article is cited in 9 scientific papers (total in 10 papers)

$P$-stable Abelian groups

E. A. Palyutinab

a Sobolev Institute of Mathematics, Siberian Branch, Russian Academy of Sciences, pr. Akad. Koptyuga 4, Novosibirsk, 630090, Russia
b Novosibirsk State University, ul. Pirogova 2, Novosibirsk, 630090, Russia
Full-text PDF (254 kB) Citations (10)
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Abstract: $(P,a)$-stable and $(P,s)$-stable Abelian groups are described. It is also proved that every Abelian group is $(P,p)$-stable. In particular, results due to M. A. Rusaleev [Algebra Logika, 50, No. 2, 231–245 (2011)] and T. A. Nurmagambetov [Proc. 11th Conf. Math. Logic, Kazan State Univ., Kazan (1992), p. 106] derive from these.
Keywords: $(P,a)$-stable Abelian group, $(P,s)$-stable Abelian group.
Received: 24.10.2012
English version:
Algebra and Logic, 2013, Volume 52, Issue 5, Pages 404–421
DOI: https://doi.org/10.1007/s10469-013-9253-6
Bibliographic databases:
Document Type: Article
UDC: 510.67+512.57
Language: Russian
Citation: E. A. Palyutin, “$P$-stable Abelian groups”, Algebra Logika, 52:5 (2013), 606–631; Algebra and Logic, 52:5 (2013), 404–421
Citation in format AMSBIB
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    • This publication is cited in the following 10 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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    		Алгебра и логика Algebra and Logic
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