长度函数与Malcev代数的稳定增长
Steady growth of length function and Malcev algebras
摘要:
引入并研究了稳定增长长度代数,即长度由维数的线性函数限制的代数类。特别是,我们表明,Malcev代数属于这一类,并建立了确切的上界的长度。
英文摘要:
We introduce and investigate the algebras of steadily growing length, that is the class of algebras, where the length is bounded by a linear function of the dimension. In particular we show that Malcev algebras belong to this class and establish the exact upper bound for its length.
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