布尔代数上triple-δ-导子的特征及性质

Characterizations and properties of triple-δ-derivation in Boolean algebra

在布尔代数的基础上引入了triple-δ-导子的概念,获得了布尔代数上triple-δ-导子的一些相关性质及特征,特别给出了布尔代数上保序triple-δ-导子的刻画定理。研究结果不仅充实和丰富了布尔代数上的导子理论,也为研究格上导子的结构特征提供了理论基础。

The concept of triple-δ-derivation in the Boolean algebra is introduced,and some properties and characteristies of triple-δ-derivation are obtained. Especially,the characterization theorem for the isotone triple-δ-derivation is given in the Boolean algebra. The results of this study not only enrich the derivation theory of Boolean algebra,but also provide a theoretical basis for the study of derivations on lattices.