A characterization of ordered Γ-semigroups by ordered (m,n)-Γ-ideals
In this paper, we study (m,n)-regular ordered Γ-semigroups through ordered (m,n)-Γ-ideals. It is shown that if (S,Γ,·,≤) is an ordered Γ-semigroup; m,n are non-negative integers and A(m,n) is the set of all ordered (m,n)-Γ-ideals of S. Then, S is (m,n)-regular⇐⇒ ∀A ∈ A(m,n), A = (AmΓSΓAn]. It is al...
Main Authors: | Mohammad Yahya Abbasi, Abul Basar, Akbar Ali |
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Format: | Article |
Language: | English |
Published: |
Sociedade Brasileira de Matemática
2020-10-01
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Series: | Boletim da Sociedade Paranaense de Matemática |
Online Access: | https://periodicos.uem.br/ojs/index.php/BSocParanMat/article/view/41186 |
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