Buletinul Academiei de Ştiinţe a Republicii Moldova. Matematica
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Buletinul Academiei de Ştiinţe a Republicii Moldova. Matematica, 2007, Number 2, Pages 25–32 (Mi basm59)  
This article is cited in 1 scientific paper (total in 1 paper)

On natural and conatural sets of left ideals of a ring

A. I. Kashu

Institute of Mathematics and Computer Science, Academy of Sciences of Moldova, Chişinău, Moldova
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Abstract: The natural and conatural sets of left ideals of a ring $R$ are defined by analogy with natural and conatural classes of left $R$-modules [4,5]. Some characterizations and properties of such sets are indicated. The lattices of natural sets $R$-Nat and of conatural sets $R$-Conat of $R$ are treated as skeletons of more wide lattices of closed and coclosed sets. In particular, $R$-Nat and $R$-Conat are boolean lattices.
Keywords and phrases: (co)natural class of modules, (co)natural set of left ideals, boolean lattice.
Received: 23.05.2007
Bibliographic databases:
MSC: 16D90,16D80, 06D22
Language: English
Citation: A. I. Kashu, “On natural and conatural sets of left ideals of a ring”, Bul. Acad. Ştiinţe Repub. Mold. Mat., 2007, no. 2, 25–32
Citation in format AMSBIB
\Bibitem{Kas07}
\by A.~I.~Kashu
\paper On natural and conatural sets of left ideals of a~ring
\jour Bul. Acad. \c Stiin\c te Repub. Mold. Mat.
\yr 2007
\issue 2
\pages 25--32
\mathnet{http://mi.mathnet.ru/basm59}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=2343127}
\zmath{https://zbmath.org/?q=an:1176.16003}
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    • This publication is cited in the following 1 articles:
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    		Buletinul Academiei de Ştiinţe a Republicii Moldova. Matematica
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