Abstract
Let A be a finite dimensional algebra over a field of characteristic zero graded by a finite abelian group G. Here we study a growth function related to the graded polynomial identities satisfied by A by computing the exponential rate of growth of the sequence of graded codimensions of A. We prove that the G-exponent of A exists and is an integer related in an explicit way to the dimension of a suitable semisimple subalgebra of A.
Original language | English |
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Pages (from-to) | 83-100 |
Number of pages | 18 |
Journal | Journal fur die Reine und Angewandte Mathematik |
Issue number | 650 |
DOIs | |
State | Published - Jan 2011 |
All Science Journal Classification (ASJC) codes
- Applied Mathematics
- General Mathematics