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    On the inner structure of 3-dimensional Leibniz algebras

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    Let LL be an algebra over a field FF with the binary operations ++ and [,][,]. Then LL is called a left Leibniz algebra if [[a,b],c]=[a,[b,c]]βˆ’[b,[a,c]][[a,b],c]=[a,[b,c]]-[b,[a,c]] for all a,b,c∈La,b,c\in L. We describe the inner structure of left Leibniz algebras having dimension 3
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