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- W2553527866 abstract "The class of Lie-type algebras contains the ones of associative algebras, Lie algebras and Leibniz algebras among other classes of algebras. We show that a Lie-type algebra , of arbitrary dimension and over an arbitrary base field, is semisimple if and only if it has zero annihilator and admits a weak-division linear basis. As a corollary, the simplicity of is also characterized." @default.
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- W2553527866 date "2016-11-09" @default.
- W2553527866 modified "2023-10-18" @default.
- W2553527866 title "A characterization of the semisimplity of Lie-type algebras through the existence of certain linear bases" @default.
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- W2553527866 doi "https://doi.org/10.1080/03081087.2016.1256368" @default.
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