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.
Збережено в:
| Дата: | 2018 |
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| Автори: | , |
| Формат: | Стаття |
| Мова: | Англійська |
| 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| _version_ | 1856543263733841921 |
|---|---|
| author | Piekart, Bozena Walendziak, Andrzej |
| author_facet | Piekart, Bozena Walendziak, Andrzej |
| author_sort | Piekart, Bozena |
| baseUrl_str | |
| collection | OJS |
| datestamp_date | 2018-04-04T09:21:34Z |
| 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. |
| first_indexed | 2025-12-02T15:31:57Z |
| format | Article |
| id | admjournalluguniveduua-article-662 |
| institution | Algebra and Discrete Mathematics |
| language | English |
| last_indexed | 2025-12-02T15:31:57Z |
| publishDate | 2018 |
| publisher | Lugansk National Taras Shevchenko University |
| record_format | ojs |
| spelling | 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 |
| spellingShingle | CI-algebra filter upper set 06F35 03G25 Piekart, Bozena Walendziak, Andrzej On filters and upper sets in CI-algebras |
| title | 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_short | On filters and upper sets in CI-algebras |
| title_sort | on filters and upper sets in ci-algebras |
| topic | CI-algebra filter upper set 06F35 03G25 |
| topic_facet | CI-algebra filter upper set 06F35 03G25 |
| url | https://admjournal.luguniv.edu.ua/index.php/adm/article/view/662 |
| work_keys_str_mv | AT piekartbozena onfiltersanduppersetsincialgebras AT walendziakandrzej onfiltersanduppersetsincialgebras |