Green’s Relations on the Monoid of Linear Cohypersubstitutions of Type τ = (n)
Linear cohypersubstitutions of type τ = (n) are mappings which map the n-ary co-operation symbols to linear coterms of type τ. Every linear cohypersubstitution σ of type τ = (n) induces a mapping ŝ on the set of all linear coterms of type τ. The set of all linear cohypersubstitutions of type τ under...
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Format: | Article |
Language: | Thai |
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Mahasarakham University
2020-06-01
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Series: | Warasan Witthayasat Lae Theknoloyi Mahawitthayalai Mahasarakham |
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Online Access: | http://journal.msu.ac.th/upload/articles/article2629_7183.pdf |
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author | Kittisak Saengsura |
author_facet | Kittisak Saengsura |
author_sort | Kittisak Saengsura |
collection | DOAJ |
description | Linear cohypersubstitutions of type τ = (n) are mappings which map the n-ary co-operation symbols to linear coterms of type τ. Every linear cohypersubstitution σ of type τ = (n) induces a mapping ŝ on the set of all linear coterms of type τ. The set of all linear cohypersubstitutions of type τ under the binary operation ocoh which is defined by σ1 ocohσ2 := 1 o σ2 for all σ1 ,σ2 ∈ Cohyplin(n) forms a monoid. In this paper, we characterize Green’s relations on Cohyplin(n). |
first_indexed | 2024-12-13T21:18:27Z |
format | Article |
id | doaj.art-13e6ffe8003149bf9f9ef68a0d4795f3 |
institution | Directory Open Access Journal |
issn | 1686-9664 |
language | Thai |
last_indexed | 2024-12-13T21:18:27Z |
publishDate | 2020-06-01 |
publisher | Mahasarakham University |
record_format | Article |
series | Warasan Witthayasat Lae Theknoloyi Mahawitthayalai Mahasarakham |
spelling | doaj.art-13e6ffe8003149bf9f9ef68a0d4795f32022-12-21T23:31:10ZthaMahasarakham UniversityWarasan Witthayasat Lae Theknoloyi Mahawitthayalai Mahasarakham1686-96642020-06-01393258263Green’s Relations on the Monoid of Linear Cohypersubstitutions of Type τ = (n) Kittisak Saengsura0 Asst. Prof., Faculty of Science, Mahasarakham University, Kantharawichai District, Maha Sarakham 44150, Thailand.Linear cohypersubstitutions of type τ = (n) are mappings which map the n-ary co-operation symbols to linear coterms of type τ. Every linear cohypersubstitution σ of type τ = (n) induces a mapping ŝ on the set of all linear coterms of type τ. The set of all linear cohypersubstitutions of type τ under the binary operation ocoh which is defined by σ1 ocohσ2 := 1 o σ2 for all σ1 ,σ2 ∈ Cohyplin(n) forms a monoid. In this paper, we characterize Green’s relations on Cohyplin(n).http://journal.msu.ac.th/upload/articles/article2629_7183.pdflinear cohypersubstitutionslinear cotermssuperpositiongreen’s relations. |
spellingShingle | Kittisak Saengsura Green’s Relations on the Monoid of Linear Cohypersubstitutions of Type τ = (n) Warasan Witthayasat Lae Theknoloyi Mahawitthayalai Mahasarakham linear cohypersubstitutions linear coterms superposition green’s relations. |
title | Green’s Relations on the Monoid of Linear Cohypersubstitutions of Type τ = (n) |
title_full | Green’s Relations on the Monoid of Linear Cohypersubstitutions of Type τ = (n) |
title_fullStr | Green’s Relations on the Monoid of Linear Cohypersubstitutions of Type τ = (n) |
title_full_unstemmed | Green’s Relations on the Monoid of Linear Cohypersubstitutions of Type τ = (n) |
title_short | Green’s Relations on the Monoid of Linear Cohypersubstitutions of Type τ = (n) |
title_sort | green s relations on the monoid of linear cohypersubstitutions of type τ n |
topic | linear cohypersubstitutions linear coterms superposition green’s relations. |
url | http://journal.msu.ac.th/upload/articles/article2629_7183.pdf |
work_keys_str_mv | AT kittisaksaengsura greensrelationsonthemonoidoflinearcohypersubstitutionsoftypetn |