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Buletinul Academiei de Ştiinţe a Republicii Moldova. Matematica, 2006, Number 3, Pages 101–108 (Mi basm113)  
This article is cited in 1 scientific paper (total in 1 paper)

Natural classes and torsion free classes in categories of modules

A. I. Kashu

Institute of Mathematics and Computer Science, Academy of Sciences of Moldova, Chişinău, Moldova
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Abstract: The relation between natural classes and torsion free classes of modules is studied. The mapping $\phi\colon R$-nat $\to\boldsymbol{\EuScript P}$ between corresponding lattices is defined and some properties of $\phi$ are shown, in particular, the compatibility of $\phi$ with operations of unions in lattices.
Keywords and phrases: Torsion, torsion free class, natural class, lattice of torsions, frame.
Received: 16.10.2006
Bibliographic databases:
MSC: 16S90, 16D90, 16D80
Language: English
Citation: A. I. Kashu, “Natural classes and torsion free classes in categories of modules”, Bul. Acad. Ştiinţe Repub. Mold. Mat., 2006, no. 3, 101–108
Citation in format AMSBIB
\Bibitem{Kas06}
\by A.~I.~Kashu
\paper Natural classes and torsion free classes in categories of modules
\jour Bul. Acad. \c Stiin\c te Repub. Mold. Mat.
\yr 2006
\issue 3
\pages 101--108
\mathnet{http://mi.mathnet.ru/basm113}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=2300514}
\zmath{https://zbmath.org/?q=an:1128.16016}
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  • https://www.mathnet.ru/eng/basm/y2006/i3/p101
    • This publication is cited in the following 1 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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    		Buletinul Academiei de Ştiinţe a Republicii Moldova. Matematica
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