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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| Published in: | Algebra and Discrete Mathematics |
|---|---|
| Date: | 2011 |
| Main Authors: | , |
| Format: | Article |
| Language: | English |
| Published: |
Інститут прикладної математики і механіки НАН України
2011
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| Online Access: | https://nasplib.isofts.kiev.ua/handle/123456789/154765 |
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| Journal Title: | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| Cite this: | 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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Digital Library of Periodicals of National Academy of Sciences of Ukraine| _version_ | 1862716361844719616 |
|---|---|
| author | Piekart, B. Walendziak, A. |
| author_facet | Piekart, B. Walendziak, A. |
| 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. |
| collection | DSpace DC |
| container_title | Algebra and Discrete Mathematics |
| 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.
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| first_indexed | 2025-12-07T18:04:50Z |
| format | Article |
| fulltext | |
| id | nasplib_isofts_kiev_ua-123456789-154765 |
| institution | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| issn | 1726-3255 |
| language | English |
| last_indexed | 2025-12-07T18:04:50Z |
| publishDate | 2011 |
| publisher | Інститут прикладної математики і механіки НАН України |
| record_format | dspace |
| spelling | 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 |
| spellingShingle | On filters and upper sets in CI-algebras Piekart, B. Walendziak, A. |
| 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 |
| url | https://nasplib.isofts.kiev.ua/handle/123456789/154765 |
| work_keys_str_mv | AT piekartb onfiltersanduppersetsincialgebras AT walendziaka onfiltersanduppersetsincialgebras |