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Proceedings of the American Mathematical Society

Published by the American Mathematical Society since 1950, Proceedings of the American Mathematical Society is devoted to shorter research articles in all areas of pure and applied mathematics.

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

The 2020 MCQ for Proceedings of the American Mathematical Society is 0.85.

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An embedding theorem for Lie algebras
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by Anetta Bajer and Jon F. Carlson PDF
Proc. Amer. Math. Soc. 127 (1999), 3445-3449 Request permission

Abstract:

In this paper we give a sufficient condition for a restricted enveloping algebra to be quasi-elementary. We also prove that every finite dimensional $p$-nilpotent Lie algebra can be embedded in a finite dimensional $p$-nilpotent quasi-elementary Lie algebra.
References
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Additional Information
  • Anetta Bajer
  • Affiliation: Department of Mathematics, Fordham University, Bronx, New York 10458
  • Email: bajer@murray.fordham.edu
  • Jon F. Carlson
  • Affiliation: Department of Mathematics, University of Georgia, Athens, Georgia 30602
  • MR Author ID: 45415
  • Email: jfc@sloth.math.uga.edu
  • Received by editor(s): June 28, 1996
  • Received by editor(s) in revised form: January 5, 1998
  • Published electronically: July 22, 1999
  • Additional Notes: The second author was partially supported by a grant from NSF
  • Communicated by: Roe Goodman
  • © Copyright 1999 American Mathematical Society
  • Journal: Proc. Amer. Math. Soc. 127 (1999), 3445-3449
  • MSC (1991): Primary 16W30; Secondary 17B30, 17B56
  • DOI: https://doi.org/10.1090/S0002-9939-99-04865-0
  • MathSciNet review: 1605919