More on crossed modules of Lie, Leibniz, associative and diassociative algebras

Emzar Khmaladze; Jos\'e Manuel Casas; Manuel Ladra; Rafael F. Casado

More on crossed modules of Lie, Leibniz, associative and diassociative algebras

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arxiv 1508.01147 v1 pith:XKS2Y56Z submitted 2015-08-05 math.RA

José Manuel Casas , Rafael F. Casado , Emzar Khmaladze , Manuel Ladra This is my paper · ORCID

classification math.RA

keywords algebrascategoriescrossedleibnizmodulesassociativedialgebrasadjoint

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Adjoint functors between the categories of crossed modules of dialgebras and Leibniz algebras are constructed. The well-known relations between the categories of Lie, Leibniz, associative algebras and dialgebras are extended to the respective categories of crossed modules.

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Crossed modules of ternary Leibniz algebras
math.RA 2025-01 reject novelty 4.0 of 10

The paper transfers crossed modules from triassociative and Leibniz algebras to ternary Leibniz algebras, but omits the supporting computations and contains garbled formulas.

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