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1. CMB 2011 (vol 55 pp. 271)
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On the Existence of the Graded Exponent for Finite Dimensional $\mathbb{Z}_p$-graded Algebras Let $F$ be an algebraically closed field of characteristic zero, and
let $A$ be an associative unitary $F$-algebra graded by a group of
prime order. We prove that if $A$ is finite dimensional then the
graded exponent of $A$ exists and is an integer.
Keywords:exponent, polynomial identities, graded algebras Categories:16R50, 16R10, 16W50 |