On filters and upper sets in CI-algebras

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.

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Bibliographische Detailangaben
Datum:2018
Hauptverfasser: Piekart, Bozena, Walendziak, Andrzej
Format: Artikel
Sprache:English
Veröffentlicht: Lugansk National Taras Shevchenko University 2018
Schlagworte:
Online Zugang:https://admjournal.luguniv.edu.ua/index.php/adm/article/view/662
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Назва журналу:Algebra and Discrete Mathematics

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Algebra and Discrete Mathematics