On the speciality of Tortkara algebras

Dzhumadil'daev, A. S.; Ismailov, N. A.; Mashurov, F. A.

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(Reference retrieved automatically from Web of Science through information on FAPESP grant and its corresponding number as mentioned in the publication by the authors.)

On the speciality of Tortkara algebras

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Author(s):	Dzhumadil'daev, A. S. ^[1] ; Ismailov, N. A. ^[2] ; Mashurov, F. A. ^[1] Total Authors: 3
Affiliation:	^[1] Inst Math & Math Modeling, Alma Ata - Kazakhstan ^[2] Univ Sao Paulo, Inst Matemat & Estat, Sao Paulo, SP - Brazil Total Affiliations: 2
Document type:	Journal article
Source:	Journal of Algebra; v. 540, p. 1-19, DEC 15 2019.
Web of Science Citations:	0
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. (C) 2019 Elsevier Inc. All rights reserved. (AU)

FAPESP's process:	17/21429-6 - The structure problems of Zinbiel-Lie and Novikov-Jordan algebras
Grantee:	Nurlan Ismailov
Support Opportunities:	Scholarships in Brazil - Post-Doctoral

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