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 t...
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| Main Authors: | , |
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| Format: | Journal |
| Published: |
2018
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| Subjects: | |
| Online Access: | https://www.scopus.com/inward/record.uri?partnerID=HzOxMe3b&scp=61549096569&origin=inward http://cmuir.cmu.ac.th/jspui/handle/6653943832/60549 |
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| Institution: | Chiang Mai University |
| 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 hypersubstitutionsof type τ = (2). In this paper, we use similar methods to characterize idempotent generalizedhypersubstitutions of type τ = (2) and determine the order of eachgeneralized hypersubstitution of this type. The main result isthat the order is 1,2 or infinite. |
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