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- 2017
布尔代数上triple-δ-导子的特征及性质
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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
[1] | POSNER E.Derivations in prime rings[J]. Proc Amer Math Soc, 1957, 8(6):1093-1100. |
[2] | SZáSZ. Derivations of lattices[J]. Acta Sci Math Szeged, 1975, 37(3):149-154. |
[3] | XIN Xiaolong. On derivationsof lattices[J]. Inform Sci, 2008, 178(2):307-316. |
[4] | CEVEN Y,OZTURK M. On <i>f</i>-derivations of lattices[J]. Bull Korean Math Soc, 2008, 45(4):701-707. |
[5] | OZTURK M, YAZARH H. Permuting tri-derivations in lattices[J]. Quaest Math, 2009, 32(3):415-425. |
[6] | ALSHEHRI N. Derivations of MV-algebras[J]. Int J Math Math Sci, 2010. doi:10.1155/2010/312027. |
[7] | 李毅君,辛小龙. <i>λ</i>-格的微分[J]. 计算机工程与应用, 2010,46(6):46-47. LI Yijun, XIN Xiaolong. Differential of <i>λ</i>-lattice[J]. Computer engineering and Applications, 2010, 46(6):46-47. |
[8] | 孙道德,王敏生. 离散数学[M].安徽:中国科学技术大学出版社,2010. SUN Desheng, WANG Minsheng. Discrete mathematics[M]. Anhui: University of Science and Technology China Press, 2010. |