Green's relations on HypG(2)
A generalized hypersubstitution of type τ = (2) is a mapping which maps the binary operation symbol f to a term σ(f) which does not necessarily preserve the arity. Any such τ can be inductively extended to a map σ on the set of all terms of type τ = (2), and any two such extensions can be composed i...
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th-cmuir.6653943832-518132018-09-04T06:09:33Z Green's relations on HypG(2) Wattapong Puninagool Sorasak Leeratanavalee Mathematics A generalized hypersubstitution of type τ = (2) is a mapping which maps the binary operation symbol f to a term σ(f) which does not necessarily preserve the arity. Any such τ can be inductively extended to a map σ on the set of all terms of type τ = (2), and any two such extensions can be composed in a natural way. Thus, the set HypG(2) of all generalized hypersubstitutions of type τ = (2) forms a monoid. Green's relations on the monoid of all hypersubstitutions of type τ = (2) were studied by K. Denecke and Sh.L. Wismath. In this paper we describe the classes of generalized hypersubstitutions of type τ = (2) under Green's relations. 2018-09-04T06:09:33Z 2018-09-04T06:09:33Z 2012-01-01 Journal 18440835 12241784 2-s2.0-84861939567 10.2478/v10309-012-0016-5 https://www.scopus.com/inward/record.uri?partnerID=HzOxMe3b&scp=84861939567&origin=inward http://cmuir.cmu.ac.th/jspui/handle/6653943832/51813 |
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Mathematics Wattapong Puninagool Sorasak Leeratanavalee Green's relations on HypG(2) |
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A generalized hypersubstitution of type τ = (2) is a mapping which maps the binary operation symbol f to a term σ(f) which does not necessarily preserve the arity. Any such τ can be inductively extended to a map σ on the set of all terms of type τ = (2), and any two such extensions can be composed in a natural way. Thus, the set HypG(2) of all generalized hypersubstitutions of type τ = (2) forms a monoid. Green's relations on the monoid of all hypersubstitutions of type τ = (2) were studied by K. Denecke and Sh.L. Wismath. In this paper we describe the classes of generalized hypersubstitutions of type τ = (2) under Green's relations. |
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Journal |
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Wattapong Puninagool Sorasak Leeratanavalee |
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Wattapong Puninagool Sorasak Leeratanavalee |
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Wattapong Puninagool |
| title |
Green's relations on HypG(2) |
| title_short |
Green's relations on HypG(2) |
| title_full |
Green's relations on HypG(2) |
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Green's relations on HypG(2) |
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Green's relations on HypG(2) |
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green's relations on hypg(2) |
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2018 |
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https://www.scopus.com/inward/record.uri?partnerID=HzOxMe3b&scp=84861939567&origin=inward http://cmuir.cmu.ac.th/jspui/handle/6653943832/51813 |
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