论文标题
代数如何增长?
How do algebras grow?
论文作者
论文摘要
我们构建了越来越多的,近水,任意快速的功能,这不等于任何有限生成的代数的生长功能,这表明在表征渐近语言中生长功能的困难。
We construct an increasing, submultiplicative, arbitrarily rapid function which is not equivalent to the growth function of any finitely generated algebra, demonstrating the difficulty in characterizing growth functions in an asymptotic language.