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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| Опубліковано в: : | Algebra and Discrete Mathematics |
|---|---|
| Дата: | 2011 |
| Автори: | , |
| Формат: | Стаття |
| Мова: | English |
| Опубліковано: |
Інститут прикладної математики і механіки НАН України
2011
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| Онлайн доступ: | https://nasplib.isofts.kiev.ua/handle/123456789/154765 |
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| Назва журналу: | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| Цитувати: | On filters and upper sets in CI-algebras / B. Piekart, A. Walendziak // Algebra and Discrete Mathematics. — 2011. — Vol. 11, № 1. — С. 109–115. — Бібліогр.: 13 назв. — англ. |
Репозитарії
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nasplib_isofts_kiev_ua-123456789-154765 |
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Piekart, B. Walendziak, A. 2019-06-15T20:40:40Z 2019-06-15T20:40:40Z 2011 On filters and upper sets in CI-algebras / B. Piekart, A. Walendziak // Algebra and Discrete Mathematics. — 2011. — Vol. 11, № 1. — С. 109–115. — Бібліогр.: 13 назв. — англ. 1726-3255 2000 Mathematics Subject Classification:06F35, 03G25 https://nasplib.isofts.kiev.ua/handle/123456789/154765 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. en Інститут прикладної математики і механіки НАН України Algebra and Discrete Mathematics On filters and upper sets in CI-algebras Article published earlier |
| institution |
Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| collection |
DSpace DC |
| title |
On filters and upper sets in CI-algebras |
| spellingShingle |
On filters and upper sets in CI-algebras Piekart, B. Walendziak, A. |
| 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 |
| author |
Piekart, B. Walendziak, A. |
| author_facet |
Piekart, B. Walendziak, A. |
| publishDate |
2011 |
| language |
English |
| container_title |
Algebra and Discrete Mathematics |
| publisher |
Інститут прикладної математики і механіки НАН України |
| format |
Article |
| 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.
|
| issn |
1726-3255 |
| url |
https://nasplib.isofts.kiev.ua/handle/123456789/154765 |
| citation_txt |
On filters and upper sets in CI-algebras / B. Piekart, A. Walendziak // Algebra and Discrete Mathematics. — 2011. — Vol. 11, № 1. — С. 109–115. — Бібліогр.: 13 назв. — англ. |
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2025-12-07T18:04:50Z |
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2025-12-07T18:04:50Z |
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1850873679081111552 |