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-  2017 

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

DOI: 10.6040/j.issn.1671-9352.0.2017.035

Keywords: ,triple-δ-导子,导子,布尔代数,
Boolean algebra
,lattice,triple-δ-derivation,derivation

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Abstract:

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。
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

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