Graded extended Lie-type algebras |
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| Authors: | Antonio J Calderón Martín |
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| Affiliation: | 1. Department of Mathematics, Faculty of Sciences, University of Cádiz, Puerto Real, Cádiz Spainajesus.calderon@uca.es |
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| Abstract: | The class of extended Lie-type algebras contains the ones of associative algebras, Lie algebras, Leibniz algebras, dual Leibniz algebras, pre-Lie algebras, and Lie-type algebras, etc. We focus on the class of extended Lie-type algebras graded by an Abelian group G and study its structure, by stating, under certain conditions, a second Wedderburn-type theorem for this class of algebras. |
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| Keywords: | Dual Leibniz algebra graded algebra Leibniz algebra Lie-type algebra non-associative algebra pre-Lie algebra structure theory |
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