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Sibirskii Matematicheskii Zhurnal, 2002, Volume 43, Number 1, Pages 108–119 (Mi smj1269)  

This article is cited in 13 scientific papers (total in 13 papers)

Hereditary endomorphism rings of mixed Abelian groups

P. A. Krylov

Tomsk State University
Abstract: Let $A$ be a finite-rank, torsion-free, self-small mixed abelian $sp$-group and let $E(A)$ be the endomorphism ring of $A$. We give conditions for right and left heredity of $E(A)$. A ring is right hereditary if each of its right ideals is projective. We also find the structure of one-sided ideals of $E(A)$.
Received: 28.02.2001
English version:
Siberian Mathematical Journal, 2002, Volume 43, Issue 1, Pages 83–91
DOI: https://doi.org/10.1023/A:1013876621908
Bibliographic databases:
UDC: 512.541
Language: Russian
Citation: P. A. Krylov, “Hereditary endomorphism rings of mixed Abelian groups”, Sibirsk. Mat. Zh., 43:1 (2002), 108–119; Siberian Math. J., 43:1 (2002), 83–91
Citation in format AMSBIB
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\by P.~A.~Krylov
\paper Hereditary endomorphism rings of mixed Abelian groups
\jour Sibirsk. Mat. Zh.
\yr 2002
\vol 43
\issue 1
\pages 108--119
\mathnet{http://mi.mathnet.ru/smj1269}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=1888122}
\zmath{https://zbmath.org/?q=an:1013.20052}
\transl
\jour Siberian Math. J.
\yr 2002
\vol 43
\issue 1
\pages 83--91
\crossref{https://doi.org/10.1023/A:1013876621908}
\isi{https://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=Publons&SrcAuth=Publons_CEL&DestLinkType=FullRecord&DestApp=WOS_CPL&KeyUT=000173897400010}
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  • https://www.mathnet.ru/eng/smj/v43/i1/p108
  • This publication is cited in the following 13 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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