More on crossed modules of Lie, Leibniz, associative and diassociative algebras
classification
🧮 math.RA
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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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