%0 Journal Article
%T 布尔代数上triple-δ-导子的特征及性质<br>Characterizations and properties of triple-δ-derivation in Boolean algebra
%A 刘莉君
%J 山东大学学报（理学版）
%D 2017
%R 10.6040/j.issn.1671-9352.0.2017.035
%X 摘要： 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。<br>Abstract: 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
%K 格
%K triple-&lt
%K i&gt
%K δ&lt
%K /i&gt
%K -导子
%K 导子
%K 布尔代数
%K &lt
%K br&gt
%K Boolean algebra
%K lattice
%K triple-&lt
%K i&gt
%K δ&lt
%K /i&gt
%K -derivation
%K derivation
%U http://lxbwk.njournal.sdu.edu.cn/CN/10.6040/j.issn.1671-9352.0.2017.035