关于Tortkara代数的特殊性
环与代数
2019-08-16 v3
摘要
建立了自由Zinbiel代数中元素为Lie或Jordan的判别准则。该准则被用于研究Tortkara代数的特殊性问题。我们构造了自由特殊Tortkara代数的基。此外，我们证明了Tortkara代数中经典Cohn定理与Shirshov定理的类似结果。
引用
@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}
}
备注
17 pages. The title changed from "Embeddable algebras into Zinbiel algebras via the commutator". To appear in Journal of Algebra