A Note on  (m,n)(m,n)(m, n)-ΓΓ\Gamma-Ideals of Ordered LALALA-ΓΓ\Gamma-Semigroups

Abul BASAR

Makale detayları

A Note on (m,n)(m,n)(m, n)-ΓΓ\Gamma-Ideals of Ordered LALALA-ΓΓ\Gamma-Semigroups

Yazarlar:

Abul BASAR

Yayıncı:

Mehmet Zeki SARIKAYA

Ana Başlıklar:

Uygulamalı fizik

Dergi:

Konuralp Journal of Mathematics 2019 Vol.7 Issue 1, pp.107-111

Belge Tipi:

Makale

Yayın Tarihi:

4/2019

Belge Dili:

İngilizce

Document ID (Org No.):

2000535986

Sıklık:

İki Yıllık

eISSN:

2147-625X

Özet:

 


In this paper, we investigate the notion of (m,n)(m,n)(m, n)-ideals in a non-associative algebraic structure, which we call an ordered LALALA-ΓΓ\Gamma-semigroup. We prove that if (S,Γ,⋅,≤)(S,Γ,⋅,≤)(S, \Gamma, \cdot, \leq) is a unitary ordered LALALA-ΓΓ\Gamma-semigroup with zero and SSS has the condition that it contains no non-zero nilpotent (m,n)(m,n)(m, n)-ideals and if R(L)R(L)R(L) is a 0-minimal right (left) ideal of SSS, then either (RΓL]={0}(RΓL]={0}(R\Gamma L]=\{0\} or (RΓL](RΓL](R\Gamma L] is a 0-minimal (m,n)(m,n)(m, n)-ideal of SSS. Also, we prove that if (S,Γ,⋅,≤)(S,Γ,⋅,≤)(S, \Gamma, \cdot, \leq) is a unitary ordered LALALA-ΓΓ\Gamma-semigroup; AAA is an (m,n)(m,n)(m, n)-ideal of SSS and BBB is an (m,n)(m,n)(m, n)-ideal of AAA such that BBB is idempotent, then BBB is an (m,n)(m,n)(m, n)-ideal of SSS.



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Makale detayları

A Note on (m,n)(m,n)(m, n)-ΓΓ\Gamma-Ideals of Ordered LALALA-ΓΓ\Gamma-Semigroups

Yazarlar: Abul BASAR

Yayıncı: Mehmet Zeki SARIKAYA

Ana Başlıklar: Uygulamalı fizik

Dergi: Konuralp Journal of Mathematics 2019 Vol.7 Issue 1, pp.107-111

Belge Tipi: Makale

Yayın Tarihi: 4/2019

Belge Dili: İngilizce

Document ID (Org No.): 2000535986

Sıklık: İki Yıllık

eISSN: 2147-625X

Sayı

Yazarlar:

Abul BASAR

Yayıncı:

Mehmet Zeki SARIKAYA

Ana Başlıklar:

Uygulamalı fizik

Dergi:

Konuralp Journal of Mathematics 2019 Vol.7 Issue 1, pp.107-111

Belge Tipi:

Makale

Yayın Tarihi:

4/2019

Belge Dili:

İngilizce

Document ID (Org No.):

2000535986

Sıklık:

İki Yıllık

eISSN:

2147-625X