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

Published online by Cambridge University Press:  20 November 2018

Onofrio M. Di Vincenzo  and
Vincenzo Nardozza
Onofrio M. Di Vincenzo
Affiliation:
Dipartimento di Matematica e Informatica, Università degli Studi della Basilicata, Viale dell’Ateneo Lucano 10, 85100 Potenza, Italiae-mail: onofrio.divincenzo@unibas.it
Vincenzo Nardozza
Affiliation:
Dipartimento di Matematica, Università degli Studi di Bari, via Orabona 4, 70125 Bari, Italiae-mail: nardozza@dm.uniba.it
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Abstract

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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

16R5016R1016W50exponentpolynomial identitiesgraded algebras
Type
Research Article
Information
Canadian Mathematical Bulletin , Volume 55 , Issue 2 , 01 June 2012 , pp. 271 - 284
Copyright
Copyright © Canadian Mathematical Society 2012

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