Lie commutators in a free diassociative algebra

Lie commutators in a free diassociative 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 generaliz...

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Bibliographic Details
Main Authors:	Dzhumadil’daev A.S., Ismailov N.A., Orazgaliyev A.T.
Format:	Article
Language:	English
Published:	Sciendo 2020-09-01
Series:	Communications in Mathematics
Subjects:	diassociative algebars leibniz elements dynkin-specht-wever criterion 17a30 17a50
Online Access:	https://doi.org/10.2478/cm-2020-0017

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