On the speciality of Tortkara algebras
arXiv:1809.10550
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.
17 pages. The title changed from "Embeddable algebras into Zinbiel algebras via the commutator". To appear in Journal of Algebra