On the structure of graded 3-Leibniz algebras
نویسندگان
چکیده
We study the structure of a $3-$Leibniz algebra $T$ graded by an arbitrary abelian group $G,$ which is considered dimension and over base field $\bbbf.$ show that form $T=\uu\oplus\sum_jI_j,$ with $\uu$ linear subspace $T_1,$ homogeneous component associated to unit element $1$ in any $I_j$ well described ideal $T,$ satisfying $$ [I_j, T, I_k] = I_k, T] [T, I_j, 0, if $j\neq k.$ In case being maximal length, we characterize gr-simplicity terms connections support grading.
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ژورنال
عنوان ژورنال: Communications in Algebra
سال: 2022
ISSN: ['1532-4125', '0092-7872']
DOI: https://doi.org/10.1080/00927872.2022.2162911