Enveloping algebras that are principal ideal rings

@article{Siciliano2017EnvelopingAT,
  title={Enveloping algebras that are principal ideal rings},
  author={S. Siciliano and H. Usefi},
  journal={Journal of Pure and Applied Algebra},
  year={2017},
  volume={221},
  pages={2573-2581}
}
  • S. Siciliano, H. Usefi
  • Published 2017
  • Mathematics
  • Journal of Pure and Applied Algebra
  • Let L be a restricted Lie algebra over a field of positive characteristic. We prove that the restricted enveloping algebra of L is a principal ideal ring if and only if L is an extension of a finite-dimensional torus by a cyclic restricted Lie algebra. 

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