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math.RA2025
A characterization of perfect Leibniz algebras
Nikolaos Panagiotis Souris
Leibniz algebras are non-antisymmetric generalizations of Lie algebras that have attracted substantial interest due to their close relation with the latter class. A Leibniz algebra…
math.RA2024
On the transitivity of Lie ideals and a characterization of perfect Lie algebras
Nikolaos Panagiotis Souris
We explore general intrinsic and extrinsic conditions that allow the transitivity of the relation of being a Lie ideal, in the sense that if a Lie algebra is a subid…