关于低维莱布尼兹代数的结构:一些修正

IF 0.3 Q4 MATHEMATICS, APPLIED Algebra & Discrete Mathematics Pub Date : 2022-01-01 DOI:10.12958/adm2036

L. A. Kurdachenko, O. Pypka, I. Subbotin

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引用次数: 6

摘要

设L是域F上的代数，具有二元运算+和[·，·]。如果对于所有a,b,c∈L，[[a,b]，c]=[a，[b,c]]−[b，[a,c]]，则L称为左莱布尼兹代数。我们描述了具有3维的左莱布尼兹代数的内部结构。

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On the structure of low-dimensional Leibniz algebras: some revision

Let L be an algebra over a field F with the binary operations + and [·,·]. Then L is called a left Leibniz algebra if [[a,b],c]=[a,[b,c]]−[b,[a,c]] for all a, b, c ∈ L. We describe the inner structure of left Leibniz algebras having dimension 3.

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