On algebras of polynomial codimension growth

Let A be an associative algebra over a field F of characteristic zero and let cn(A) , n= 1 , 2 , … , be the sequence of codimensions of A. It is well-known that cn(A) , n= 1 , 2 , … , cannot have intermediate growth, i.e., either is polynomially bounded or grows exponentially. Here we present some results on algebras whose sequence of codimensions is polynomially bounded. © 2016, Instituto de Matemática e Estatística da Universidade de São Paulo.