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.
ON THE EXISTENCE OF THE GRADED EXPONENT FOR FINITE DIMENSIONAL $MATHBB{Z}_P$-GRADED ALGEBRAS
NARDOZZA, VINCENZO
2012-01-01
Abstract
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.File in questo prodotto:
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