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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th-cmuir.6653943832-70992014-08-30T03:51:34Z Natural partial ordering on e(hypg(2)) Puninagool W. Leeratanavalee S. 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. 2014-08-30T03:51:34Z 2014-08-30T03:51:34Z 2013 Article 17935571 10.1142/S1793557113500162 http://www.scopus.com/inward/record.url?eid=2-s2.0-84879055626&partnerID=40&md5=b37548c45eb475c7ce9cd2b9c36f0747 http://cmuir.cmu.ac.th/handle/6653943832/7099 English |
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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. |
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Article |
author |
Puninagool W. Leeratanavalee S. |
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Puninagool W. Leeratanavalee S. Natural partial ordering on e(hypg(2)) |
author_facet |
Puninagool W. Leeratanavalee S. |
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Puninagool W. |
title |
Natural partial ordering on e(hypg(2)) |
title_short |
Natural partial ordering on e(hypg(2)) |
title_full |
Natural partial ordering on e(hypg(2)) |
title_fullStr |
Natural partial ordering on e(hypg(2)) |
title_full_unstemmed |
Natural partial ordering on e(hypg(2)) |
title_sort |
natural partial ordering on e(hypg(2)) |
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2014 |
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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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