【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.更多还原

【Abstract】 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.更多还原