The Order of Generalized Hypersubstitutions of Type τ=(2)
The order of hypersubstitutions, all idempotent elements on the monoid of all hypersubstitutions of type τ=(2) were studied by K. Denecke and Sh. L. Wismath and all idempotent elements on the monoid of all hypersubstitutions of type τ=(2,2) were studied by Th. Changpas and K. Denecke. We want to stu...
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| Format: | Article |
| Language: | English |
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Wiley
2008-01-01
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| Series: | International Journal of Mathematics and Mathematical Sciences |
| Online Access: | http://dx.doi.org/10.1155/2008/263541 |
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| author | Wattapong Puninagool Sorasak Leeratanavalee |
| author_facet | Wattapong Puninagool Sorasak Leeratanavalee |
| author_sort | Wattapong Puninagool |
| collection | DOAJ |
| description | The order of hypersubstitutions, all idempotent elements on the monoid of all hypersubstitutions of type τ=(2) were studied by K. Denecke and Sh. L. Wismath and all idempotent elements on the monoid of all hypersubstitutions of type τ=(2,2) were studied by Th. Changpas and K. Denecke. We want to study similar problems for the monoid of all generalized hypersubstitutions of type τ=(2). In this paper, we use similar methods to characterize idempotent generalized hypersubstitutions of type τ=(2) and determine the order of each generalized hypersubstitution of this type. The main result is that the order is 1,2 or infinite. |
| format | Article |
| id | doaj-art-b9e46e9d871f4e4eadb119880934ed11 |
| institution | DOAJ |
| issn | 0161-1712 1687-0425 |
| language | English |
| publishDate | 2008-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | International Journal of Mathematics and Mathematical Sciences |
| spelling | doaj-art-b9e46e9d871f4e4eadb119880934ed112025-08-20T03:22:38ZengWileyInternational Journal of Mathematics and Mathematical Sciences0161-17121687-04252008-01-01200810.1155/2008/263541263541The Order of Generalized Hypersubstitutions of Type τ=(2)Wattapong Puninagool0Sorasak Leeratanavalee1Department of Mathematics, Faculty of Science, Chiang Mai University, Chiang Mai 50200, ThailandDepartment of Mathematics, Faculty of Science, Chiang Mai University, Chiang Mai 50200, ThailandThe order of hypersubstitutions, all idempotent elements on the monoid of all hypersubstitutions of type τ=(2) were studied by K. Denecke and Sh. L. Wismath and all idempotent elements on the monoid of all hypersubstitutions of type τ=(2,2) were studied by Th. Changpas and K. Denecke. We want to study similar problems for the monoid of all generalized hypersubstitutions of type τ=(2). In this paper, we use similar methods to characterize idempotent generalized hypersubstitutions of type τ=(2) and determine the order of each generalized hypersubstitution of this type. The main result is that the order is 1,2 or infinite.http://dx.doi.org/10.1155/2008/263541 |
| spellingShingle | Wattapong Puninagool Sorasak Leeratanavalee The Order of Generalized Hypersubstitutions of Type τ=(2) International Journal of Mathematics and Mathematical Sciences |
| title | The Order of Generalized Hypersubstitutions of Type τ=(2) |
| title_full | The Order of Generalized Hypersubstitutions of Type τ=(2) |
| title_fullStr | The Order of Generalized Hypersubstitutions of Type τ=(2) |
| title_full_unstemmed | The Order of Generalized Hypersubstitutions of Type τ=(2) |
| title_short | The Order of Generalized Hypersubstitutions of Type τ=(2) |
| title_sort | order of generalized hypersubstitutions of type τ 2 |
| url | http://dx.doi.org/10.1155/2008/263541 |
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