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- W3194183844 abstract "–We study the structure of a “3-Leibniz algebra” T graded by an arbitrary abelian group G, which is considered of arbitrary dimension and over an arbitrary base field F. We show that T is of the form T=U⊕∑jIj, with U a linear subspace of T1, the homogeneous component associated to the unit element 1 in G, and every Ij is a well described graded ideal of T, satisfying [Ij,T,Ik]=[Ij,Ik,T]=[T,Ij,Ik]=0, if j≠k. In the case of T being of maximal length, we characterize the gr-simplicity of the algebra in terms of connections in the support of the grading." @default.
- W3194183844 created "2021-08-30" @default.
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- W3194183844 date "2022-12-30" @default.
- W3194183844 modified "2023-09-26" @default.
- W3194183844 title "On the structure of graded 3-Leibniz algebras" @default.
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- W3194183844 doi "https://doi.org/10.1080/00927872.2022.2162911" @default.
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