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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}
Linking options:
  • https://www.mathnet.ru/eng/adm7
  • https://www.mathnet.ru/eng/adm/v11/i1/p109
    • This publication is cited in the following 4 articles:
    1. Walendziak A., “Fuzzy Deductive Systems of Rm Algebras”, Math. Slovaca, 70:6 (2020), 1259–1274  crossref  mathscinet  zmath  isi  scopus
    2. Walendziak A., “the Property of Commutativity For Some Generalizations of Bck Algebras”, Soft Comput., 23:17 (2019), 7505–7511  crossref  mathscinet  zmath  isi  scopus
    3. Wang F., Second International Conference on Physics, Mathematics and Statistics, Journal of Physics Conference Series, 1324, ed. Huang X., IOP Publishing Ltd, 2019  crossref  isi  scopus
    4. Saeid A.B., Rezaei A., “Intuitionistic (T, S)-Fuzzy Ci-Algebras”, Comput. Math. Appl., 63:1 (2012), 158–166  crossref  mathscinet  zmath  isi  scopus
    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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    Abstract page:474
    Full-text PDF :252
    References:78
    First page:1
     
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