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More on crossed modules of Lie, Leibniz, associative and diassociative algebras (1508.01147v1)
Published 5 Aug 2015 in math.RA
Abstract: 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.