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: | 2011 |
|---|---|
| Автори: | , |
| Формат: | Стаття |
| Мова: | English |
| Опубліковано: |
Інститут прикладної математики і механіки НАН України
2011
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| Назва видання: | Algebra and Discrete Mathematics |
| Онлайн доступ: | http://dspace.nbuv.gov.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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irk-123456789-154765 |
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dspace |
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irk-123456789-1547652019-06-16T01:31:51Z On filters and upper sets in CI-algebras Piekart, B. Walendziak, A. 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. 2011 Article 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 http://dspace.nbuv.gov.ua/handle/123456789/154765 en Algebra and Discrete Mathematics Інститут прикладної математики і механіки НАН України |
| institution |
Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| collection |
DSpace DC |
| language |
English |
| 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. |
| format |
Article |
| author |
Piekart, B. Walendziak, A. |
| spellingShingle |
Piekart, B. Walendziak, A. On filters and upper sets in CI-algebras Algebra and Discrete Mathematics |
| author_facet |
Piekart, B. Walendziak, A. |
| author_sort |
Piekart, B. |
| 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 |
| publisher |
Інститут прикладної математики і механіки НАН України |
| publishDate |
2011 |
| url |
http://dspace.nbuv.gov.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. |
| series |
Algebra and Discrete Mathematics |
| work_keys_str_mv |
AT piekartb onfiltersanduppersetsincialgebras AT walendziaka onfiltersanduppersetsincialgebras |
| first_indexed |
2023-05-20T17:45:19Z |
| last_indexed |
2023-05-20T17:45:19Z |
| _version_ |
1796154011314814976 |