Abstract
The aim of this article is to introduce Hall bases of free Leibniz algebras. We modified the classical notion of Hall bases for free Lie algebras to provide the similar construction for the case of Leibniz algebras.
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Barnes, D.: Some theorems on Leibniz algebras. Comm. Algebra 39(7), 2463–2472 (2011)
Bokut, L.: Grobner–Shirshov bases and their calculation. Bull. Math. Sci. 4(3), 325–395 (2014)
Loday, J., Pirashvili, T.: Universal enveloping algebra of Leibniz algebras and (co)homology. Math. Ann. 296(1), 139–158 (1993)
Reutenauer, C.: Free Lie Algebras. London Math. Soc. Monographs, New Series, vol. 7. Clarendon Press, Oxford (1993)
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Communicated by Saeid Azam.
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Shahryari, M. Hall Bases for Free Leibniz Algebras. Bull. Iran. Math. Soc. 45, 617–625 (2019). https://doi.org/10.1007/s41980-018-0153-3
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DOI: https://doi.org/10.1007/s41980-018-0153-3