BL-代数上的(,⊙)-微分

On(,⊙)-derivations of BL-algebras

在BL-代数上引入(,⊙)-微分,研究BL-代数(,⊙)-微分的一些性质。给出BL-代数的G?del中心上(,⊙)-微分的等价刻画并讨论G?del中心上(,⊙)-微分的相关性质。用微分的不动点之集刻画G?del代数,讨论了BL-代数上(,⊙)-微分与BL-代数上已有微分之间的关系。

It is introduced that the notion of （ , ）-derivations of BL-algebras and some proper- ties of them are discussed. The （ , ）-derivations on its Godel center are characterized and stud- ied. Moreover,G6del algebras by the fixed set of （ , ）-derivations are characterized. Finally, the relationship between （ , ）-derivations and others derivations for BL-algebras are found.