The Monoid Consisting of Kuratowski Operations
The paper fills gaps in knowledge about Kuratowski operations which are already in the literature. The Cayley table for these operations has been drawn up. Techniques, using only paper and pencil, to point out all semigroups and its isomorphism types are applied. Some results apply only to topology,...
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| Main Authors: | , |
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| Format: | Article |
| Language: | English |
| Published: |
Wiley
2013-01-01
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| Series: | Journal of Mathematics |
| Online Access: | http://dx.doi.org/10.1155/2013/289854 |
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| _version_ | 1832564726585884672 |
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| author | Szymon Plewik Marta Walczyńska |
| author_facet | Szymon Plewik Marta Walczyńska |
| author_sort | Szymon Plewik |
| collection | DOAJ |
| description | The paper fills gaps in knowledge about Kuratowski
operations which are already in the literature. The Cayley table
for these operations has been drawn up. Techniques, using only
paper and pencil, to point out all semigroups and its isomorphism
types are applied. Some results apply only to topology, and one cannot bring them out, using only properties of the complement and
a closure-like operation. The arguments are by systematic study
of possibilities. |
| format | Article |
| id | doaj-art-0d30d83f3ab54384876ac6bd46977054 |
| institution | Kabale University |
| issn | 2314-4629 2314-4785 |
| language | English |
| publishDate | 2013-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Journal of Mathematics |
| spelling | doaj-art-0d30d83f3ab54384876ac6bd469770542025-02-03T01:10:21ZengWileyJournal of Mathematics2314-46292314-47852013-01-01201310.1155/2013/289854289854The Monoid Consisting of Kuratowski OperationsSzymon Plewik0Marta Walczyńska1Institute of Mathematics, University of Silesia, ul. Bankowa 14, 40-007 Katowice, PolandInstitute of Mathematics, University of Silesia, ul. Bankowa 14, 40-007 Katowice, PolandThe paper fills gaps in knowledge about Kuratowski operations which are already in the literature. The Cayley table for these operations has been drawn up. Techniques, using only paper and pencil, to point out all semigroups and its isomorphism types are applied. Some results apply only to topology, and one cannot bring them out, using only properties of the complement and a closure-like operation. The arguments are by systematic study of possibilities.http://dx.doi.org/10.1155/2013/289854 |
| spellingShingle | Szymon Plewik Marta Walczyńska The Monoid Consisting of Kuratowski Operations Journal of Mathematics |
| title | The Monoid Consisting of Kuratowski Operations |
| title_full | The Monoid Consisting of Kuratowski Operations |
| title_fullStr | The Monoid Consisting of Kuratowski Operations |
| title_full_unstemmed | The Monoid Consisting of Kuratowski Operations |
| title_short | The Monoid Consisting of Kuratowski Operations |
| title_sort | monoid consisting of kuratowski operations |
| url | http://dx.doi.org/10.1155/2013/289854 |
| work_keys_str_mv | AT szymonplewik themonoidconsistingofkuratowskioperations AT martawalczynska themonoidconsistingofkuratowskioperations AT szymonplewik monoidconsistingofkuratowskioperations AT martawalczynska monoidconsistingofkuratowskioperations |