Geodesic
On the Existence of the Graded Exponent for Finite Dimensional Zp -graded Algebras
Canadian mathematical bulletin, Tome 55 (2012) no. 2, pp. 271-284

Voir la notice de l'article provenant de la source Cambridge

DOI

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.
DOI : 10.4153/CMB-2011-104-9
Mots-clés : 16R50, 16R10, 16W50, exponent, polynomial identities, graded algebras 
Vincenzo, Onofrio M. Di; Nardozza, Vincenzo. On the Existence of the Graded Exponent for Finite Dimensional Zp -graded Algebras. Canadian mathematical bulletin, Tome 55 (2012) no. 2, pp. 271-284. doi: 10.4153/CMB-2011-104-9
@article{10_4153_CMB_2011_104_9,
     author = {Vincenzo, Onofrio M. Di and Nardozza, Vincenzo},
     title = {On the {Existence} of the {Graded} {Exponent} for {Finite} {Dimensional} {Zp} -graded {Algebras}},
     journal = {Canadian mathematical bulletin},
     pages = {271--284},
     year = {2012},
     volume = {55},
     number = {2},
     doi = {10.4153/CMB-2011-104-9},
     url = {http://geodesic.mathdoc.fr/articles/10.4153/CMB-2011-104-9/}
}
TY  - JOUR
AU  - Vincenzo, Onofrio M. Di
AU  - Nardozza, Vincenzo
TI  - On the Existence of the Graded Exponent for Finite Dimensional Zp -graded Algebras
JO  - Canadian mathematical bulletin
PY  - 2012
SP  - 271
EP  - 284
VL  - 55
IS  - 2
UR  - http://geodesic.mathdoc.fr/articles/10.4153/CMB-2011-104-9/
DO  - 10.4153/CMB-2011-104-9
ID  - 10_4153_CMB_2011_104_9
ER  - 
%0 Journal Article
%A Vincenzo, Onofrio M. Di
%A Nardozza, Vincenzo
%T On the Existence of the Graded Exponent for Finite Dimensional Zp -graded Algebras
%J Canadian mathematical bulletin
%D 2012
%P 271-284
%V 55
%N 2
%U http://geodesic.mathdoc.fr/articles/10.4153/CMB-2011-104-9/
%R 10.4153/CMB-2011-104-9
%F 10_4153_CMB_2011_104_9

Cité par Sources :