On the speciality of Tortkara algebras

Published 27 Sep 2018 in math.RA | (1809.10550v3)

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.

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