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Proceedings of the American Mathematical Society

ISSN 1088-6826(online) ISSN 0002-9939(print)

 

 

On a theorem of Cohen and Montgomery


Author: Michel Van den Bergh
Journal: Proc. Amer. Math. Soc. 94 (1985), 562-564
MSC: Primary 16A21; Secondary 16A26
DOI: https://doi.org/10.1090/S0002-9939-1985-0792260-4
MathSciNet review: 792260
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Abstract: In a recent paper, Cohen and Montgomery proved a conjecture of Bergman concerning the relation between the Jacobson radical and the graded Jacobson radical of a ring graded by a finite group. In their proof they made use of the theory of Hopf algebras. In this note we give a short and elementary proof of the Bergman conjecture.


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DOI: https://doi.org/10.1090/S0002-9939-1985-0792260-4
Article copyright: © Copyright 1985 American Mathematical Society