Algebra and Discrete Mathematics
RUS  ENG    JOURNALS   PEOPLE   ORGANISATIONS   CONFERENCES   SEMINARS   VIDEO LIBRARY   PACKAGE AMSBIB  
General information
Latest issue
Archive
Impact factor

Search papers
Search references

RSS
Latest issue
Current issues
Archive issues
What is RSS


Algebra Discrete Math.:
Year:
Volume:
Issue:
Page:
Find




Personal entry:
Login:
Password:
Save password
Enter
Forgotten password?
Register

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)
References:
PDF
HTML
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:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Algebra and Discrete Mathematics
    Statistics & downloads:
    Abstract page:422
    Full-text PDF :225
    References:55
    First page:1
     
      Contact us:
    		  Terms of Use  Registration to the website  Logotypes © Steklov Mathematical Institute RAS, 2024