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Algebra and Discrete Mathematics, 2011, Volume 11, Issue 1, Pages 109–115 (Mi adm7)  
This article is cited in 4 scientific papers (total in 4 papers)

RESEARCH ARTICLE

On filters and upper sets in CI-algebras

Bożena Piekarta, Andrzej Walendziakb

a Institute of Mathematics and Physics, University of Siedlce, 3 Maja 54, 08–110 Siedlce, Poland
b Warsaw School of Information Technology, Newelska 6, 01–447 Warszawa, Poland
Full-text PDF (194 kB) Citations (4)
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Abstract: CI-algebras are a generalization of BE-algebras and dual BCK/BCI/BCH-algebras. In this paper filters of CI-algebras are considered. Given a subset of a CI-algebra, the least filter containing it is constructed. An equivalent condition of the filters using the notion of upper sets is provided.
Keywords: CI-algebra, filter, upper set.
Received: 24.07.2010
Revised: 18.03.2011
Bibliographic databases:
Document Type: Article
MSC: 06F35, 03G25
Language: English
Citation: Bożena Piekart, Andrzej Walendziak, “On filters and upper sets in CI-algebras”, Algebra Discrete Math., 11:1 (2011), 109–115
Citation in format AMSBIB
\Bibitem{PieWal11}
\by Bo{\.z}ena Piekart, Andrzej Walendziak
\paper On filters and upper sets in CI-algebras
\jour Algebra Discrete Math.
\yr 2011
\vol 11
\issue 1
\pages 109--115
\mathnet{http://mi.mathnet.ru/adm7}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=2868362}
\zmath{https://zbmath.org/?q=an:06120599}
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    • This publication is cited in the following 4 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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    		Algebra and Discrete Mathematics
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