Abstract
Let $A$ be a finite dimensional algebra over a fieldof characteristic zero graded by a finite abelian group $G$. Here westudy a growth function related to the graded polynomial identitiessatisfied by $A$ by computing the exponential rate of growth of thesequence of graded codimensions of $A$. We prove that the$G$-exponent of $A$ exists and is an integer related in an explicitway to the dimension of a suitable semisimple subalgebra of $A$.
Lingua originale | English |
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pagine (da-a) | 83-100 |
Numero di pagine | 18 |
Rivista | JOURNAL FÜR DIE REINE UND ANGEWANDTE MATHEMATIK |
Volume | 650 |
Stato di pubblicazione | Published - 2011 |
All Science Journal Classification (ASJC) codes
- Mathematics(all)
- Applied Mathematics