Fantastic filters of lattice implication algebras
The notion of a fantastic filter in a lattice implication algebra is introduced, and the relations among filter, positive implicative filter, and fantastic filter are given. We investigate an equivalent condition for a filter to be fantastic, and state an extension property for fantastic filter.
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| Format: | Article |
| Language: | English |
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Wiley
2000-01-01
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| Series: | International Journal of Mathematics and Mathematical Sciences |
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| Online Access: | http://dx.doi.org/10.1155/S0161171200003926 |
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| _version_ | 1832563903220940800 |
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| author | Young Bae Jun |
| author_facet | Young Bae Jun |
| author_sort | Young Bae Jun |
| collection | DOAJ |
| description | The notion of a fantastic filter in a lattice
implication algebra is introduced, and the relations
among filter, positive implicative filter, and fantastic filter are given. We
investigate an equivalent condition for a filter to be fantastic,
and state an extension property for fantastic filter. |
| format | Article |
| id | doaj-art-4348c89ad87245e0a9416ddf816cdc05 |
| institution | Kabale University |
| issn | 0161-1712 1687-0425 |
| language | English |
| publishDate | 2000-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | International Journal of Mathematics and Mathematical Sciences |
| spelling | doaj-art-4348c89ad87245e0a9416ddf816cdc052025-02-03T01:12:11ZengWileyInternational Journal of Mathematics and Mathematical Sciences0161-17121687-04252000-01-0124427728110.1155/S0161171200003926Fantastic filters of lattice implication algebrasYoung Bae Jun0Department of Mathematics Education, Gyeongsang National University, Chinju 660-701, KoreaThe notion of a fantastic filter in a lattice implication algebra is introduced, and the relations among filter, positive implicative filter, and fantastic filter are given. We investigate an equivalent condition for a filter to be fantastic, and state an extension property for fantastic filter.http://dx.doi.org/10.1155/S0161171200003926Lattice implication algebrafilter implicative filterpositive implicative filterfantastic filter. |
| spellingShingle | Young Bae Jun Fantastic filters of lattice implication algebras International Journal of Mathematics and Mathematical Sciences Lattice implication algebra filter implicative filter positive implicative filter fantastic filter. |
| title | Fantastic filters of lattice implication algebras |
| title_full | Fantastic filters of lattice implication algebras |
| title_fullStr | Fantastic filters of lattice implication algebras |
| title_full_unstemmed | Fantastic filters of lattice implication algebras |
| title_short | Fantastic filters of lattice implication algebras |
| title_sort | fantastic filters of lattice implication algebras |
| topic | Lattice implication algebra filter implicative filter positive implicative filter fantastic filter. |
| url | http://dx.doi.org/10.1155/S0161171200003926 |
| work_keys_str_mv | AT youngbaejun fantasticfiltersoflatticeimplicationalgebras |