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A Remark on the Loewy-Series of Certain Hopf Algebras

Published online by Cambridge University Press:  20 November 2018

Frank Röhl
Frank Röhl*
Affiliation:
Department of Mathematics, University of Alabama, Tuscaloosa, AL 35487 USA
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Abstract

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An easy proof will be given to show that for finite dimensional Hopf-algebras with nilpotent augmentation ideal over the field of p elements, the upper and lower Loewy-series coincide. In particular, this holds for the restricted universal envelope of nilpotent Lie-p-algebras with nilpotent p-map.

Keywords

16A2417B50
Type
Research Article
Information
Canadian Mathematical Bulletin , Volume 32 , Issue 2 , 01 June 1989 , pp. 190 - 193
Copyright
Copyright © Canadian Mathematical Society 1989

References

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