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Algebra i logika, 2015, Volume 54, Number 4, Pages 463–492
DOI: https://doi.org/10.17377/alglog.2015.54.404 (Mi al705) 		 
Totally $P$-stable Abelian groups

E. A. Palyutinab

a Sobolev Institute of Mathematics, pr. Akad. Koptyuga 4, Novosibirsk, 630090, Russia
b Novosibirsk State University, ul. Pirogova 2, Novosibirsk, 630090, Russia
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DOI: https://doi.org/10.17377/alglog.2015.54.404
Abstract: We give a complete description of Abelian groups that are totally $P$-stable for the following four natural types of subgroups: arbitrary subgroups, pure subgroups, elementary subsystems, and algebraically closed subgroups.
Keywords: Abelian group, totally $P$-stable group.
Funding agency Grant number
Ministry of Education and Science of the Republic of Kazakhstan 0830/ГФ4
Supported by KN MON RK, project No. 0830/GF4.
Received: 19.01.2015
English version:
Algebra and Logic, 2015, Volume 54, Issue 4, Pages 296–315
DOI: https://doi.org/10.1007/s10469-015-9350-9
Bibliographic databases:
Document Type: Article
UDC: 510.67+512.57
Language: Russian
Citation: E. A. Palyutin, “Totally $P$-stable Abelian groups”, Algebra Logika, 54:4 (2015), 463–492; Algebra and Logic, 54:4 (2015), 296–315
Citation in format AMSBIB
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    		Алгебра и логика Algebra and Logic
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