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Generalized Nilpotent Leibniz Algebras

  • Leonid Kurdachenko,
  • Oleksandr Pypka,
  • Igor Subbotin

摘要

This chapter delves into nilpotent Leibniz algebras and their natural extensions such as hypercentral Leibniz algebras and those satisfying the idealizer condition. It presents key properties of these algebras and proves the existence of the largest locally nilpotent ideal in any Leibniz algebra.