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Zapiski Nauchnykh Seminarov POMI, 2010, Volume 375, Pages 195–202 (Mi znsl3614)  
This article is cited in 5 scientific papers (total in 5 papers)

Duality of the categories of torsion free abelian groups of finite rank and quotient divisible groups

A. V. Yakovlev

Saint-Petersburg State University, Saint-Petersburg, Russia
Full-text PDF (558 kB) Citations (5)
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Abstract: We propose a new approach to the description of quotient divisible groups. This approach allows to give an explicit and natural proof of the duality of the categories of torsion free abelian groups of finite rank and quotient divisible groups with marked basic subgroups. Bibl. – 3 titles.
Key words and phrases: abelian groups, categories, duality.
Received: 15.04.2010
English version:
Journal of Mathematical Sciences (New York), 2010, Volume 171, Issue 3, Pages 416–420
DOI: https://doi.org/10.1007/s10958-010-0145-1
Bibliographic databases:
Document Type: Article
UDC: 512.54
Language: Russian
Citation: A. V. Yakovlev, “Duality of the categories of torsion free abelian groups of finite rank and quotient divisible groups”, Problems in the theory of representations of algebras and groups. Part 19, Zap. Nauchn. Sem. POMI, 375, POMI, St. Petersburg, 2010, 195–202; J. Math. Sci. (N. Y.), 171:3 (2010), 416–420
Citation in format AMSBIB
\Bibitem{Yak10}
\by A.~V.~Yakovlev
\paper Duality of the categories of torsion free abelian groups of finite rank and quotient divisible groups
\inbook Problems in the theory of representations of algebras and groups. Part~19
\serial Zap. Nauchn. Sem. POMI
\yr 2010
\vol 375
\pages 195--202
\publ POMI
\publaddr St.~Petersburg
\mathnet{http://mi.mathnet.ru/znsl3614}
\transl
\jour J. Math. Sci. (N. Y.)
\yr 2010
\vol 171
\issue 3
\pages 416--420
\crossref{https://doi.org/10.1007/s10958-010-0145-1}
\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-78649451802}
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  • https://www.mathnet.ru/eng/znsl/v375/p195
    • 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
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