摘要
引入了模糊预李子代数、模糊Novikov子代数和模糊邻接李子代数的概念,讨论了几类常见预李代数、Novikov代数的模糊结构,并分别给出了一类特殊的Novikov代数和一类可以诱导出Burgers方程的预李代数构成模糊代数结构的条件.
The concepts of fuzzy pre-Lie subalgebra,fuzzy Novikov subalgebra and fuzzy sub-adjacent Lie subalgebra are proposed.The fuzzy structures of some classical pre-Lie algebras and Novikov algebras are discussed.Finally,the fuzzy structures of a class of special Novikov algebra and pre-Lie algebra are given which can give the integrable Burgers equation.
作者
周鑫
汤建钢
ZHOU Xin;TANG Jian-gang(Sehool of Mathematics and Statistics, Yili Normal University, Yining 835000,Chin)
出处
《东北师大学报（自然科学版）》
CAS
CSCD
北大核心
2018年第2期21-25,共5页
Journal of Northeast Normal University(Natural Science Edition)
基金
国家自然科学基金资助项目(11171055)
新疆维吾尔自治区高校科研计划项目(XJEDU2016S080)
