Natural partial ordering on e(hypg(2))

The concept of generalized hypersubstitutions was introduced by S. Leeratanavalee and K. Denecke as a way of making precise the concepts of strong hyperidentity and M-strong hyperidentity. The set HypG(2) of all generalized hypersubstitutions of type τ = (2) forms a monoid. All idempotent and regula...

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Bibliographic Details
Main Authors: Puninagool W., Leeratanavalee S.
Format: Article
Language:English
Published: 2014
Online Access:http://www.scopus.com/inward/record.url?eid=2-s2.0-84879055626&partnerID=40&md5=b37548c45eb475c7ce9cd2b9c36f0747
http://cmuir.cmu.ac.th/handle/6653943832/7099
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Institution: Chiang Mai University
Language: English
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Summary:The concept of generalized hypersubstitutions was introduced by S. Leeratanavalee and K. Denecke as a way of making precise the concepts of strong hyperidentity and M-strong hyperidentity. The set HypG(2) of all generalized hypersubstitutions of type τ = (2) forms a monoid. All idempotent and regular elements in the monoid of all generalized hypersubstitutions of type τ = (2) were studied by W. Puninagool and S. Leeratanavalee. In this paper, we determine all primitive idempotent elements of this monoid and characterize the natural partial ordering on the set of all idempotent of this monoid. © 2013 World Scientific Publishing Company.