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Ternary Leibniz color algebras and beyond. (English) Zbl 07916449

Hounkonnou, Mahouton Norbert (ed.) et al., Algebra without borders – classical and constructive nonassociative algebraic structures. Foundations and applications. Invited papers based on the presentations at the 1st conference, CaCNAS: FA 2021, virtual, June 30 – July 2, 2021. Cham: Springer. STEAM-H, Sci. Technol. Eng. Agric. Math. Health, 189-236 (2023).

MSC: 17B75 16W50

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Kitouni, Abdennour; Mboya, Stephen; Ongong’a, Elvice; Silvestrov, Sergei

On ideals and derived and central descending series of \(n\)-ary Hom-algebras. (English) Zbl 07822809

Albuquerque, Helena (ed.) et al., Non-associative algebras and related topics. NAART II. Selected papers based on the presentations at the 2nd conference, Coimbra, Portugal, July 18–22, 2022. Cham: Springer. Springer Proc. Math. Stat. 427, 261-286 (2023).

MSC: 17B61 17D30 17A40 17A42 17B30

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Kitouni, Abdennour; Silvestrov, Sergei

On classification of (\(n +1\))-dimensional \(n\)-Hom-Lie algebras for \(n =4,5,6\) and nilpotent twisting map with 2-dimensional kernel. (English) Zbl 1535.17023

Silvestrov, Sergei (ed.) et al., Non-commutative and non-associative algebra and analysis structures. SPAS 2019. Selected papers based on the presentations at the international conference on stochastic processes and algebraic structures – from theory towards applications, Västerås, Sweden, September 30 – October 2, 2019. Cham: Springer. Springer Proc. Math. Stat. 426, 563-589 (2023).

MSC: 17B61 17D30 17A42

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Kitouni, Abdennour; Silvestrov, Sergei

On classification of \((n+1)\)-dimensional \(n\)-Hom-Lie algebras with nilpotent twisting maps. (English) Zbl 1535.17022

Silvestrov, Sergei (ed.) et al., Non-commutative and non-associative algebra and analysis structures. SPAS 2019. Selected papers based on the presentations at the international conference on stochastic processes and algebraic structures – from theory towards applications, Västerås, Sweden, September 30 – October 2, 2019. Cham: Springer. Springer Proc. Math. Stat. 426, 525-562 (2023).

MSC: 17B61 17D30 17A42