We consider the numerical characteristics of identities of nonassociative algebras and propose a method for constructing some algebra A ( w ) with prescribed properties of the codimension growth function. The growth of codimensions of A ( w ) is completely determined by the combinatorial complexity of the language of subwords of w .

中文翻译：

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非结合代数的形式语言和同一性理论

我们考虑了非结合代数的恒等式的数值特征，并提出了一种构造具有规定的余维增长函数性质的代数 A ( w ) 的方法。A(w) 的余维的增长完全由 w 的子词语言的组合复杂度决定。