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Proceedings of the American Mathematical Society

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

 

 

The radical of a modular alternative loop algebra


Author: Edgar G. Goodaire
Journal: Proc. Amer. Math. Soc. 123 (1995), 3289-3299
MSC: Primary 17D05; Secondary 16S34, 20N05
DOI: https://doi.org/10.1090/S0002-9939-1995-1283551-8
MathSciNet review: 1283551
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Abstract: If G is a group of order $ {2^n}$ and F is a field of characteristic 2, it is well known that the augmentation ideal of the group algebra FG is nilpotent. In this paper, we extend this result to alternative loop algebras.


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DOI: https://doi.org/10.1090/S0002-9939-1995-1283551-8
Article copyright: © Copyright 1995 American Mathematical Society