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Sibirskii Matematicheskii Zhurnal, 2013, Volume 54, Number 5, Pages 1182–1187 (Mi smj2486)  
This article is cited in 5 scientific papers (total in 5 papers)

On abelian groups with commuting monomorphisms

A. R. Chekhlov

Tomsk State University, Tomsk, Russia
Full-text PDF (295 kB) Citations (5)
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Abstract: We find necessary and sufficient conditions under which an abelian group with commuting monomorphisms has the endomorphism ring normal. We describe divisible groups with left- or righ-tinvariant monomorphisms and prove that a reduced torsion-free group with left- or right-invariant monomorphisms has the endomorphism ring normal. Necessary and sufficient conditions are indicated for the left and right invariance of monomorphisms from some classes of splitting groups.
Keywords: left (right) invariance of monomorphisms, normal endomorphism ring, central idempotent endomorphism.
Received: 04.10.2012
English version:
Siberian Mathematical Journal, 2013, Volume 54, Issue 5, Pages 946–950
DOI: https://doi.org/10.1134/S0037446613050182
Bibliographic databases:
Document Type: Article
UDC: 512.541
Language: Russian
Citation: A. R. Chekhlov, “On abelian groups with commuting monomorphisms”, Sibirsk. Mat. Zh., 54:5 (2013), 1182–1187; Siberian Math. J., 54:5 (2013), 946–950
Citation in format AMSBIB
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    • This publication is cited in the following 5 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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