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1. CMB 2011 (vol 55 pp. 271)

Di Vincenzo, M. Onofrio; Nardozza, Vincenzo
 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 algebrasCategories:16R50, 16R10, 16W50