On the speciality of Tortkara algebras
Rings and Algebras
2019-08-16 v3
Abstract
A criterion for elements of free Zinbiel algebras to be Lie or Jordan is established. This criterion is used in studying speciality problems of Tortkara algebras. We construct a base of free special Tortkara algebras. Furthermore, we prove analogues of classical Cohn's and Shirshov's theorems for Tortkara algebras.
Keywords
Cite
@article{arxiv.1809.10550,
title = {On the speciality of Tortkara algebras},
author = {Askar Dzhumadil'daev and Nurlan Ismailov and Farukh Mashurov},
journal= {arXiv preprint arXiv:1809.10550},
year = {2019}
}
Comments
17 pages. The title changed from "Embeddable algebras into Zinbiel algebras via the commutator". To appear in Journal of Algebra