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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| Main Authors: | , |
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| Format: | Article |
| Language: | English |
| Published: |
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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| Summary: | 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. |
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| ISSN: | 0161-1712 1687-0425 |