Γ-环的(∈,∈∨_(q(λ,μ)))-模糊Γ-理想

(∈,∈∨_(q(λ,μ)))-fuzzy Γ-ideas of Γ-rings

首先,给出Γ-环的(∈,∈∨q(λ,μ))-模糊Γ-理想以及广义模糊Γ-理想的概念,研究它们的等价刻画和相关性质。其次,基于环同态的定义,得到Γ-环的(∈,∈∨q(λ,μ))-模糊Γ-理想的同态像及同态原像也是Γ-环的(∈,∈∨q(λ,μ))-模糊Γ-理想的结论。最后,利用直积运算的定义,探讨Γ-环的(∈,∈∨q(λ,μ))-模糊Γ-理想的直积运算的性质。

Firstly, the new concepts of （∈,∈∨_（q（λ,μ）））--fuzzy F-ideals ofΓ-rings and generalized fuzzyP-ideals of Γ-rings were introduced. Then equivalent descriptions and some related properties of them were given. Next, based on the definition of the homorphism of Γ-rings, we obtained the conclusion that the image and preimage of （∈,∈∨_（q（λ,μ）））-fuzzy F-ideals of Γ-rings are also （∈,∈∨_（q（λ,μ）））--fuzzy Γ-ideals of Γ-rings. Finally, using the definition of the direct product, we obtained the conclusiola that the direct product of （∈,∈∨_（q（λ,μ）））--fuzzy F-ideals of F-rings is also （∈,∈∨_（q（λ,μ）））-fuzzy F-ideals of Γ-rings.