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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| Дата: | 2018 |
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| Автори: | , |
| Формат: | Стаття |
| Мова: | English |
| Опубліковано: |
Lugansk National Taras Shevchenko University
2018
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| Теми: | |
| Онлайн доступ: | https://admjournal.luguniv.edu.ua/index.php/adm/article/view/662 |
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| Назва журналу: | Algebra and Discrete Mathematics |
Репозитарії
Algebra and Discrete Mathematics| id |
admjournalluguniveduua-article-662 |
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admjournalluguniveduua-article-6622018-04-04T09:21:34Z On filters and upper sets in CI-algebras Piekart, Bozena Walendziak, Andrzej CI-algebra, filter, upper set 06F35, 03G25 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. Lugansk National Taras Shevchenko University 2018-04-04 Article Article Peer-reviewed Article application/pdf https://admjournal.luguniv.edu.ua/index.php/adm/article/view/662 Algebra and Discrete Mathematics; Vol 11, No 1 (2011) 2415-721X 1726-3255 en https://admjournal.luguniv.edu.ua/index.php/adm/article/view/662/196 Copyright (c) 2018 Algebra and Discrete Mathematics |
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Algebra and Discrete Mathematics |
| baseUrl_str |
|
| datestamp_date |
2018-04-04T09:21:34Z |
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OJS |
| language |
English |
| topic |
CI-algebra filter upper set 06F35 03G25 |
| spellingShingle |
CI-algebra filter upper set 06F35 03G25 Piekart, Bozena Walendziak, Andrzej On filters and upper sets in CI-algebras |
| topic_facet |
CI-algebra filter upper set 06F35 03G25 |
| format |
Article |
| author |
Piekart, Bozena Walendziak, Andrzej |
| author_facet |
Piekart, Bozena Walendziak, Andrzej |
| author_sort |
Piekart, Bozena |
| title |
On filters and upper sets in CI-algebras |
| title_short |
On filters and upper sets in CI-algebras |
| title_full |
On filters and upper sets in CI-algebras |
| title_fullStr |
On filters and upper sets in CI-algebras |
| title_full_unstemmed |
On filters and upper sets in CI-algebras |
| title_sort |
on filters and upper sets in ci-algebras |
| description |
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. |
| publisher |
Lugansk National Taras Shevchenko University |
| publishDate |
2018 |
| url |
https://admjournal.luguniv.edu.ua/index.php/adm/article/view/662 |
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AT piekartbozena onfiltersanduppersetsincialgebras AT walendziakandrzej onfiltersanduppersetsincialgebras |
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2025-12-02T15:31:57Z |
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2025-12-02T15:31:57Z |
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1850412084227997696 |