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İsmail Demi̇r, K. Misra, E. Stitzinger (2013)
ON SOME STRUCTURES OF LEIBNIZ ALGEBRASarXiv: Rings and Algebras
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(2014)
Stitzinger: On some structures of Leibniz algebras. Recent Advances in Representation Theory, Quantum Groups, Algebraic Geometry, and Related Topics
- Publisher
- de Gruyter
- Copyright
- © 2020 A.S. Dzhumadil’daev et al., published by Sciendo
- eISSN
- 2336-1298
- DOI
- 10.2478/cm-2020-0017
- Publisher site
- See Article on Publisher Site
Abstract
AbstractWe 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.
Journal
Communications in Mathematics – de Gruyter
Published: Sep 1, 2020