Some results on ordered filters of implicative semigroups
We introduce a special set in an implicative semigroup. Using it, an equivalent condition of an ordered filter is stated. We prove that an ordered filter can be represented by the union of such sets.
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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/S0161171201005579 |
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| _version_ | 1832550352394649600 |
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| author | Young Bae Jun |
| author_facet | Young Bae Jun |
| author_sort | Young Bae Jun |
| collection | DOAJ |
| description | We introduce a special set in an implicative semigroup. Using it, an equivalent condition of an ordered filter is stated. We prove that an ordered filter can be represented by the union of such sets. |
| format | Article |
| id | doaj-art-518b2634171d490e8cd965058e5a2ba2 |
| 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-518b2634171d490e8cd965058e5a2ba22025-02-03T06:07:04ZengWileyInternational Journal of Mathematics and Mathematical Sciences0161-17121687-04252001-01-01261273173510.1155/S0161171201005579Some results on ordered filters of implicative semigroupsYoung Bae Jun0Department of Mathematics Education, Gyeongsang National University, Jinju 660-701, KoreaWe introduce a special set in an implicative semigroup. Using it, an equivalent condition of an ordered filter is stated. We prove that an ordered filter can be represented by the union of such sets.http://dx.doi.org/10.1155/S0161171201005579 |
| spellingShingle | Young Bae Jun Some results on ordered filters of implicative semigroups International Journal of Mathematics and Mathematical Sciences |
| title | Some results on ordered filters of implicative semigroups |
| title_full | Some results on ordered filters of implicative semigroups |
| title_fullStr | Some results on ordered filters of implicative semigroups |
| title_full_unstemmed | Some results on ordered filters of implicative semigroups |
| title_short | Some results on ordered filters of implicative semigroups |
| title_sort | some results on ordered filters of implicative semigroups |
| url | http://dx.doi.org/10.1155/S0161171201005579 |
| work_keys_str_mv | AT youngbaejun someresultsonorderedfiltersofimplicativesemigroups |