On some properties of normal Γ-ideals in normal Γ-semigroups
Künye
Basar, A. & Abbasi, M. Y. (2019). On some properties of normal Γ-ideals in normal Γ-semigroups. TWMS Journal Of Applied And Engineering Mathematics, 9(3), 455-460.Özet
We introduce the concept of normal Γ-ideal and bi-Γ-ideal in normal Γsemigroups. We characterize the (normal) Γ-semigroup and normal regular Γ-semigroup in terms of elementary properties of bi-Γ-ideal proving the various equivalent conditions. In particular, we establish, among the other things, that if I1, I2 are any two normal Γideals of a Γ-semigroup S, then their product I1ΓI2 and I2ΓI1 are also normal Γ-ideals of S and I1ΓI2 = I2ΓI1. Finally, we show that the minimal normal Γ-ideal of a Γ-semigroup S is a Γ-group.
Kaynak
TWMS Journal Of Applied And Engineering MathematicsCilt
9Sayı
3Bağlantı
https://hdl.handle.net/11729/2733http://jaem.isikun.edu.tr/web/index.php/archive/102-vol9no3/428
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