Buletinul Academiei de Ştiinţe a Republicii Moldova. Matematica
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Buletinul Academiei de Ştiinţe a Republicii Moldova. Matematica, 2004, Number 2, Pages 95–101 (Mi basm170)  
This article is cited in 4 scientific papers (total in 4 papers)

Research articles

On natural classes of $R$-modules in the language of ring $R$

A. I. Kashu

Institute of Mathematics and Computer Science, Academy of Sciences of Moldova, Chişinău, Moldova
Full-text PDF (123 kB) Citations (4)
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Abstract: Every natural class of left $R$-modules is closed, i.e. is completely described by special set of left ideals of $R$ (natural set). Some characterizations of such sets are shown. The complementation operator of sets is defined and its properties permit to transfer some results on natural classes to the lattice of left ideals of $R$.
Keywords and phrases: Natural class, closed class, natural set, boolean lattice, filter.
Received: 28.09.2004
Bibliographic databases:
Document Type: Article
MSC: 16S90, 16D90, 16D80
Language: English
Citation: A. I. Kashu, “On natural classes of $R$-modules in the language of ring $R$”, Bul. Acad. Ştiinţe Repub. Mold. Mat., 2004, no. 2, 95–101
Citation in format AMSBIB
\Bibitem{Kas04}
\by A.~I.~Kashu
\paper On natural classes of $R$-modules in the language of ring~$R$
\jour Bul. Acad. \c Stiin\c te Repub. Mold. Mat.
\yr 2004
\issue 2
\pages 95--101
\mathnet{http://mi.mathnet.ru/basm170}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=2122264}
\zmath{https://zbmath.org/?q=an:1078.16025}
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    • This publication is cited in the following 4 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Buletinul Academiei de Ştiinţe a Republicii Moldova. Matematica
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