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Ukrainian Mathematical Journal

, Volume 70, Issue 7, pp 1141–1144 | Cite as

A Note on Strongly Split Lie Algebras

  • A. J. Calderón Martín
Article
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Split Lie algebras are possibly the most known examples of graded Lie algebras. Since an important category in the class of graded algebras is the category of strongly graded algebras, we introduce, in a natural way, the category of strongly split Lie algebras 𝔏 and show that if 𝔏 is centerless, then 𝔏 is the direct sum of split ideals each of which is a split-simple strongly split Lie algebra.

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© Springer Science+Business Media, LLC, part of Springer Nature 2018

Authors and Affiliations

  • A. J. Calderón Martín
    • 1
  1. 1.University of CádizCádizSpain

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