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Lie commutators in a free diassociative algebra
Communications in Mathematics, Tome 28 (2020) no. 2, pp. 155-160 Cet article a éte moissonné depuis la source Czech Digital Mathematics Library

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We give a criterion for Leibniz elements in a free diassociative algebra. In the diassociative case one can consider two versions of Lie commutators. We give criterions for elements of diassociative algebras to be Lie under these commutators. One of them corresponds to Leibniz elements. It generalizes the Dynkin-Specht-Wever criterion for Lie elements in a free associative algebra.
We give a criterion for Leibniz elements in a free diassociative algebra. In the diassociative case one can consider two versions of Lie commutators. We give criterions for elements of diassociative algebras to be Lie under these commutators. One of them corresponds to Leibniz elements. It generalizes the Dynkin-Specht-Wever criterion for Lie elements in a free associative algebra.
Classification : 17A30, 17A50
Keywords: Diassociative algebars; Leibniz elements; Dynkin-Specht-Wever criterion 
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Dzhumadil'daev, A.S.; Ismailov, N.A.; Orazgaliyev, A.T. Lie commutators in a free diassociative algebra. Communications in Mathematics, Tome 28 (2020) no. 2, pp. 155-160. http://geodesic.mathdoc.fr/item/COMIM_2020_28_2_a4/

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