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

2015/08/05 by J. M. Casas, Rafael F. Casado, Casas, José Manuel +5
Mathematics · Physics and Astronomy · #17A30 #17A32 #17B35 #18A40 #Advanced Topics in Algebra #Algebraic structures and combinatorial models #FOS: Mathematics #Nonlinear Waves and Solitons #Rings and Algebras (math.RA)

paper · pdf · doi:10.48550/arxiv.1508.01147

openalex publication_date 2015/08/05 · openalex created_date 2022/09/26 · openalex updated_date 2026/07/28

Abstract

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

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