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: | Article |
| Language: | English |
| Published: |
2014
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| Online Access: | http://www.scopus.com/inward/record.url?eid=2-s2.0-61549096569&partnerID=40&md5=06a0e04cd61d39dacfcaa6be7877ab4c http://cmuir.cmu.ac.th/handle/6653943832/5358 |
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| Institution: | Chiang Mai University |
| Language: | English |
| 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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