Zhou, Xin; Tang, Jiangang Fuzzy pre-Lie subalgebras and fuzzy Novikov subalgebras. (Chinese. English summary) Zbl 1438.17026 J. Northeast Norm. Univ., Nat. Sci. Ed. 50, No. 2, 21-25 (2018). 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. Keywords:fuzzy pre-Lie subalgebra; fuzzy Novikov subalgebra; fuzzy sub-adjacent Lie subalgebra; integrable Burgers equation PDFBibTeX XMLCite \textit{X. Zhou} and \textit{J. Tang}, J. Northeast Norm. Univ., Nat. Sci. Ed. 50, No. 2, 21--25 (2018; Zbl 1438.17026) Full Text: DOI