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Proceedings of the American Mathematical Society
Proceedings of the American Mathematical Society
ISSN 1088-6826(online) ISSN 0002-9939(print)

 

A note on graded algebras


Author: Edmund R. Puczyłowski
Journal: Proc. Amer. Math. Soc. 113 (1991), 1-3
MSC: Primary 16W50; Secondary 16N40
MathSciNet review: 991706
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Abstract: It is proved that if an algebra over a field of characteristic $ p > 0$ is graded by a finite $ p$-group, then its ideals having nilpotent intersection with the identity component are nilpotent themselves.


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DOI: http://dx.doi.org/10.1090/S0002-9939-1991-0991706-9
PII: S 0002-9939(1991)0991706-9
Article copyright: © Copyright 1991 American Mathematical Society