论文标题
一元和二元莱布尼兹代数
Unary and binary Leibniz algebras
论文作者
论文摘要
如果每个生成的子代数都是莱布尼兹代数,则据说一个代数是一个元代数。如果每个两产生的亚代词是莱布尼兹代数,则据说代数是二进制代数。我们在身份方面给出了一元和二元莱布尼兹代数的特征。
An algebra is said to be a unary Leibniz algebra if every one-generated subalgebra is a Leibniz algebra. An algebra is said to be a binary Leibniz algebra if every two-generated subalgebra is a Leibniz algebra. We give characterizations of unary and binary Leibniz algebras in terms of identities.