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

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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.

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math.RA 1

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2025 1

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REJECT 1

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representative citing papers

Crossed modules of ternary Leibniz algebras

math.RA · 2025-01-30 · reject · novelty 4.0

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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  • Crossed modules of ternary Leibniz algebras math.RA · 2025-01-30 · reject · none · ref 16 · internal anchor

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