The Order of Generalized Hypersubstitutions of Type

Wattapong Puninagool and Sorasak Leeratanavalee

International Journal of Mathematics and Mathematical Sciences, 2008, vol. 2008, 1-8

Abstract:

The order of hypersubstitutions, all idempotent elements on the monoid of all hypersubstitutions of type were studied by K. Denecke and Sh. L. Wismath and all idempotent elements on the monoid of all hypersubstitutions of type were studied by Th. Changpas and K. Denecke. We want to study similar problems for the monoid of all generalized hypersubstitutions of type . In this paper, we use similar methods to characterize idempotent generalized hypersubstitutions of type and determine the order of each generalized hypersubstitution of this type. The main result is that the order is 1,2 or infinite.

Date: 2008
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jijmms:263541

DOI: 10.1155/2008/263541

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