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Sibirskii Matematicheskii Zhurnal, 2005, Volume 46, Number 1, Pages 217–229 (Mi smj953)  
This article is cited in 6 scientific papers (total in 6 papers)

The pseudorational rank of an abelian group

A. V. Tsarev

Ryazan State Pedagogical University
Full-text PDF (240 kB) Citations (6)
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Abstract: We study finite-rank torsion-free abelian groups and quotient divisible mixed groups. We consider the pseudorational rank, a new invariant for finite-rank torsion-free groups which was introduced by A. A. Fomin, and establish its connection with the usual rank. We find a condition for existence of a homomorphism from one quotient divisible group into the other.
Keywords: abelian group, pseudorational type, pseudorational rank, quotient divisible group.
Received: 17.12.2003
English version:
Siberian Mathematical Journal, 2005, Volume 46, Issue 1, Pages 172–181
DOI: https://doi.org/10.1007/s11202-005-0018-x
Bibliographic databases:
UDC: 512.441
Language: Russian
Citation: A. V. Tsarev, “The pseudorational rank of an abelian group”, Sibirsk. Mat. Zh., 46:1 (2005), 217–229; Siberian Math. J., 46:1 (2005), 172–181
Citation in format AMSBIB
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\paper The pseudorational rank of an abelian group
\jour Sibirsk. Mat. Zh.
\yr 2005
\vol 46
\issue 1
\pages 217--229
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\zmath{https://zbmath.org/?q=an:1103.20048}
\transl
\jour Siberian Math. J.
\yr 2005
\vol 46
\issue 1
\pages 172--181
\crossref{https://doi.org/10.1007/s11202-005-0018-x}
\isi{https://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=Publons&SrcAuth=Publons_CEL&DestLinkType=FullRecord&DestApp=WOS_CPL&KeyUT=000227076100018}
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    • This publication is cited in the following 6 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Сибирский математический журнал Siberian Mathematical Journal
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