How do algebras grow?

2020/05/05 by Greenfeld, Be'eri
#FOS: Mathematics #Rings and Algebras (math.RA)

paper · doi:10.48550/arxiv.2005.02019

Abstract

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.

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