Let A be an associative algebra over a field F of characteristic zero and let c_n(A), n = 1,2,..., be the sequence of codimensions of A. It is well-known that c_n(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.
La Mattina, D. (2016). On algebras of polynomial codimension growth. SÃO PAULO JOURNAL OF MATHEMATICAL SCIENCES, 10(2), 312-320 [10.1007/s40863-016-0051-7].
On algebras of polynomial codimension growth
LA MATTINA, Daniela
2016-01-01
Abstract
Let A be an associative algebra over a field F of characteristic zero and let c_n(A), n = 1,2,..., be the sequence of codimensions of A. It is well-known that c_n(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.
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