A Note on Isomorphism Theorems for Semigroups of Order-Preserving Transformations with Restricted Range
Finding necessary and sufficient conditions for isomorphism between two semigroups of order-preserving transformations over an infinite domain with restricted range was an open problem. In this paper, we show a proof strategy to answer that question.
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| Main Authors: | , |
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| Format: | Article |
| Language: | English |
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Wiley
2015-01-01
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| Series: | International Journal of Mathematics and Mathematical Sciences |
| Online Access: | http://dx.doi.org/10.1155/2015/187026 |
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| _version_ | 1832548668244230144 |
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| author | Phichet Jitjankarn Thitarie Rungratgasame |
| author_facet | Phichet Jitjankarn Thitarie Rungratgasame |
| author_sort | Phichet Jitjankarn |
| collection | DOAJ |
| description | Finding necessary and sufficient conditions for isomorphism between two semigroups of order-preserving transformations over an infinite domain with restricted range was an open problem. In this paper, we show a proof strategy to answer that question. |
| format | Article |
| id | doaj-art-31f7b6b8ad914276a5868b1528b5cd89 |
| institution | Kabale University |
| issn | 0161-1712 1687-0425 |
| language | English |
| publishDate | 2015-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | International Journal of Mathematics and Mathematical Sciences |
| spelling | doaj-art-31f7b6b8ad914276a5868b1528b5cd892025-02-03T06:13:16ZengWileyInternational Journal of Mathematics and Mathematical Sciences0161-17121687-04252015-01-01201510.1155/2015/187026187026A Note on Isomorphism Theorems for Semigroups of Order-Preserving Transformations with Restricted RangePhichet Jitjankarn0Thitarie Rungratgasame1Division of Mathematics, School of Science, Walailak University, Nakhon Si Thammarat 80161, ThailandDepartment of Mathematics, Faculty of Science, Srinakharinwirot University, Bangkok 10110, ThailandFinding necessary and sufficient conditions for isomorphism between two semigroups of order-preserving transformations over an infinite domain with restricted range was an open problem. In this paper, we show a proof strategy to answer that question.http://dx.doi.org/10.1155/2015/187026 |
| spellingShingle | Phichet Jitjankarn Thitarie Rungratgasame A Note on Isomorphism Theorems for Semigroups of Order-Preserving Transformations with Restricted Range International Journal of Mathematics and Mathematical Sciences |
| title | A Note on Isomorphism Theorems for Semigroups of Order-Preserving Transformations with Restricted Range |
| title_full | A Note on Isomorphism Theorems for Semigroups of Order-Preserving Transformations with Restricted Range |
| title_fullStr | A Note on Isomorphism Theorems for Semigroups of Order-Preserving Transformations with Restricted Range |
| title_full_unstemmed | A Note on Isomorphism Theorems for Semigroups of Order-Preserving Transformations with Restricted Range |
| title_short | A Note on Isomorphism Theorems for Semigroups of Order-Preserving Transformations with Restricted Range |
| title_sort | note on isomorphism theorems for semigroups of order preserving transformations with restricted range |
| url | http://dx.doi.org/10.1155/2015/187026 |
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