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Fuzzy pre-Lie subalgebras and fuzzy Novikov subalgebras. (Chinese. English summary) Zbl 1438.17026

Summary: 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.

MSC:

17D99 Other nonassociative rings and algebras
08A72 Fuzzy algebraic structures
03E72 Theory of fuzzy sets, etc.
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