On the Existence of the Graded Exponent for Finite Dimensional Zp -graded Algebras

Vincenzo, Onofrio M. Di ; Nardozza, Vincenzo

Canadian mathematical bulletin, Tome 55 (2012) no. 2, pp. 271-284

Résumé

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.

Détail

DOI : 10.4153/CMB-2011-104-9

Mots-clés : 16R50, 16R10, 16W50, exponent, polynomial identities, graded algebras

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