| Autor: |
Yu. A. Bahturin, M. V. Zaicev |
| Předmět: |
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| Zdroj: |
Transactions of the American Mathematical Society; Oct2004, Vol. 356 Issue 10, p3939-3950, 12p |
| Abstrakt: |
Let $A=\oplus_{g\in G}A_g$ be a $G$-graded associative algebra over a field of characteristic zero. In this paper we develop a conjecture that relates the exponent of the growth of polynomial identities of the identity component $A_e$ to that of the whole of $A$, in the case where the support of the grading is finite. We prove the conjecture in several natural cases, one of them being the case where $A$ is finite dimensional and $A_e$ has polynomial growth. [ABSTRACT FROM AUTHOR] |
| Databáze: |
Complementary Index |
| Externí odkaz: |
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