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Algebra and Discrete Mathematics, 2007, Issue 3, Pages 18–26 (Mi adm217)  
This article is cited in 6 scientific papers (total in 6 papers)

RESEARCH ARTICLE

Commutative reduced

Ryszard R. Andruszkiewicz, Magdalena Sobolewska

Institute of Mathematics, University of Białystok, ul. Akademicka 2, 15–267 Białystok, Poland
Full-text PDF (220 kB) Citations (6)
Abstract: A ring $R$ is filial when for every $I$, $J$, if $I$ is an ideal of $J$ and $J$ is an ideal of $R$ then $I$ is an ideal of $R$. Several characterizations and results on structure of commutative reduced filial rings are obtained.
Keywords: ideal, filial ring, reduced ring.
Received: 16.07.2007
Revised: 27.01.2008
Bibliographic databases:
Document Type: Article
MSC: 16D25, 16D70, 13G05
Language: English
Citation: Ryszard R. Andruszkiewicz, Magdalena Sobolewska, “Commutative reduced”, Algebra Discrete Math., 2007, no. 3, 18–26
Citation in format AMSBIB
\Bibitem{AndSob07}
\by Ryszard~R.~Andruszkiewicz, Magdalena~Sobolewska
\paper Commutative reduced
\jour Algebra Discrete Math.
\yr 2007
\issue 3
\pages 18--26
\mathnet{http://mi.mathnet.ru/adm217}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=2421774}
\zmath{https://zbmath.org/?q=an:1164.13300}
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  • https://www.mathnet.ru/eng/adm/y2007/i3/p18
    • This publication is cited in the following 6 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Algebra and Discrete Mathematics
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