The variety of dual mock-Lie algebras

Luisa M. Camacho; Ivan Kaygorodov; Viktor Lopatkin; Mohamed A. Salim

doi:10.2478/cm-2020-0019

Luisa M. Camacho ; Ivan Kaygorodov ; Viktor Lopatkin ; Mohamed A. Salim - The variety of dual mock-Lie algebras

cm:9511 - Communications in Mathematics, October 11, 2020, Volume 28 (2020), Issue 2 (Special Issue: 2nd International Workshop on Nonassociative Algebras in Porto) - https://doi.org/10.2478/cm-2020-0019

The variety of dual mock-Lie algebras

Authors: Luisa M. Camacho ; Ivan Kaygorodov ; Viktor Lopatkin ; Mohamed A. Salim

We classify all complex 7- and 8-dimensional dual mock-Lie algebras by the algebraic and geometric way. Also, we find all non-trivial complex 9-dimensional dual mock-Lie algebras.

https://doi.org/10.2478/cm-2020-0019

Source: HAL:hal-03664997v1

Volume: Volume 28 (2020), Issue 2 (Special Issue: 2nd International Workshop on Nonassociative Algebras in Porto)

Published on: October 11, 2020

Imported on: May 11, 2022

Keywords: General Mathematics,[MATH]Mathematics [math]

Licence: Attribution-Non Commercial-NoDerivatives 4.0 International (CC BY-NC-ND 4.0)

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Source : ScholeXplorer HasVersion DOI 10.48550/arxiv.1910.01484 10.48550/arxiv.1910.01484 The variety of dual mock-Lie algebras Camacho, Luisa M. ; Kaygorodov, Ivan ; Lopatkin, Victor ; Salim, Mohamed A. ;

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Agore, A.L.; Militaru, G., 2021, Algebraic Constructions For Jacobi-Jordan Algebras, Linear Algebra And Its Applications, 630, pp. 158-178, 10.1016/j.laa.2021.08.003.

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Kaygorodov, Ivan; Khrypchenko, Mykola, 2020, The Algebraic Classification Of Nilpotent âD-algebras, Linear And Multilinear Algebra, pp. 1-47, 10.1080/03081087.2020.1856030.

Kaygorodov, Ivan; Khrypchenko, Mykola; Lopes, Samuel A., 2021, The Algebraic Classification Of Nilpotent Algebras, Journal Of Algebra And Its Applications, 10.1142/s0219498823500093.

Khudoyberdiyev, Abror; Kaygorodov, Ivan; Jumaniyozov, Doston, 2020, The Algebraic Classification Of Nilpotent Commutative CD-algebras, Communications In Algebra, 49, 4, pp. 1464-1494, 10.1080/00927872.2020.1837852.

Mashurov, Farukh; Kaygorodov, Ivan, 2020, One-generated Nilpotent Assosymmetric Algebras, Journal Of Algebra And Its Applications, 21, 02, 10.1142/s0219498822500311.

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