论文标题
有限生成的替代代数的偏斜对称身份
Skew-symmetric identities of finitely generated alternative algebras
论文作者
论文摘要
我们证明，对于每个自然数n，存在一个自然数字n（n），使得在n（n）上的每个多线性偏度对称多项式或更多变量，或更多的变量在自由的联想代数中消失，并且在任何n生成的替代代数中都消失在任何特征性的范围内。
We prove that for every natural number n there exists a natural number N(n) such that every multilinear skew-symmetric polynomial on N(n) or more variables which vanishes in the free associative algebra vanishes as well in any n-generated alternative algebra over a field of characteristic 0. Before this was proved only for a series of such polynomials constructed by the author in [7].
