On n-fold implicative filters of lattice implication algebras
We introduce the notion of n-fold implicative filters and n-fold implicative lattice implication algebras. We give characterizations of n-fold implicative filters and n-fold implicative lattice implication algebras. Finally, we construct an extension property for n-fold implicative filter.
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| Format: | Article |
| Language: | English |
| Published: |
Wiley
2001-01-01
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| Series: | International Journal of Mathematics and Mathematical Sciences |
| Online Access: | http://dx.doi.org/10.1155/S016117120100566X |
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| _version_ | 1832555822147698688 |
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| author | Young Bae Jun |
| author_facet | Young Bae Jun |
| author_sort | Young Bae Jun |
| collection | DOAJ |
| description | We introduce the notion of n-fold implicative filters and n-fold implicative lattice implication algebras. We give characterizations of n-fold implicative filters and n-fold implicative lattice implication algebras. Finally, we construct an extension property for n-fold implicative filter. |
| format | Article |
| id | doaj-art-f10a378272ea4c748fe969477b7f4a1a |
| institution | Kabale University |
| issn | 0161-1712 1687-0425 |
| language | English |
| publishDate | 2001-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | International Journal of Mathematics and Mathematical Sciences |
| spelling | doaj-art-f10a378272ea4c748fe969477b7f4a1a2025-02-03T05:47:16ZengWileyInternational Journal of Mathematics and Mathematical Sciences0161-17121687-04252001-01-01261169569910.1155/S016117120100566XOn n-fold implicative filters of lattice implication algebrasYoung Bae Jun0Department of Mathematics Education, Gyeongsang National University, Jinju 660-701, KoreaWe introduce the notion of n-fold implicative filters and n-fold implicative lattice implication algebras. We give characterizations of n-fold implicative filters and n-fold implicative lattice implication algebras. Finally, we construct an extension property for n-fold implicative filter.http://dx.doi.org/10.1155/S016117120100566X |
| spellingShingle | Young Bae Jun On n-fold implicative filters of lattice implication algebras International Journal of Mathematics and Mathematical Sciences |
| title | On n-fold implicative filters of lattice implication algebras |
| title_full | On n-fold implicative filters of lattice implication algebras |
| title_fullStr | On n-fold implicative filters of lattice implication algebras |
| title_full_unstemmed | On n-fold implicative filters of lattice implication algebras |
| title_short | On n-fold implicative filters of lattice implication algebras |
| title_sort | on n fold implicative filters of lattice implication algebras |
| url | http://dx.doi.org/10.1155/S016117120100566X |
| work_keys_str_mv | AT youngbaejun onnfoldimplicativefiltersoflatticeimplicationalgebras |