eng
episciences.org
Communications in Mathematics
1804-1388
2336-1298
2020-10-11
Volume 28 (2020), Issue 2...
10.2478/cm-2020-0017
9509
journal article
Lie commutators in a free diassociative algebra
A.S. Dzhumadilâ€™daev
N.A. Ismailov
A.T. Orazgaliyev
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.
https://cm.episciences.org/9509/pdf
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