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A note on graded algebras


Author: Edmund R. Puczyłowski
Journal: Proc. Amer. Math. Soc. 113 (1991), 1-3
MSC: Primary 16W50; Secondary 16N40
DOI: https://doi.org/10.1090/S0002-9939-1991-0991706-9
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.


References [Enhancements On Off] (What's this?)

  • [1] M. Cohen and L. Rowen, Group graded rings, Comm. Algebra 11 (1983), 1253-1270. MR 696990 (85b:16002)
  • [2] J. Krempa, On semisimplicity of tensor products, Ring Theory (Proc. Antwerp Conf., Univ. Antwerp, Antwerp, 1978), pp. 105-122; Lectures Notes in Pure and Appl. Math., no. 51, Dekker, New York, 1979. MR 563289 (82b:16008)

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Additional Information

DOI: https://doi.org/10.1090/S0002-9939-1991-0991706-9
Article copyright: © Copyright 1991 American Mathematical Society

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