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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Main Author: Kittisak Saengsura
Format: Article
Language:Thai
Published: Mahasarakham University 2020-06-01
Series:Warasan Witthayasat Lae Theknoloyi Mahawitthayalai Mahasarakham
Subjects:
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).
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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