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On structures of BiHom-Superdialgebras and their derivations

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arxiv 2404.12098 v1 pith:QBIWF5O5 submitted 2024-04-18 math.RA

Nil Mansuroglu , Bouzid Mosbahi This is my paper · ORCID
classification math.RA
keywords bihom-superdialgebrasderivationsstructuresbihomsuperdialgebrasclearderivedescribegeneralization
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BiHom-superdialgebras are clear generalization of Hom-superdialgebras. The purpose of this note is to describe and to survey structures of BiHom-superdialgebras. Then we derive derivations of BiHomsuperdialgebras.

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Cited by 4 Pith papers

Reviewed papers in the Pith corpus that reference this work. Sorted by Pith novelty score. Full citation record

  1. Computational Approaches to Derivations and Automorphism Groups of Associative Algebras

    math.RA 2025-01 reject novelty 4.0 of 10

    The paper claims to compute derivations and automorphism groups of low-dimensional associative algebras over C, but the computations are not self-contained and contain errors.

  2. Rota-type operators on 2-dimensional dendriform algebras

    math.RA 2024-11 reject novelty 4.0 of 10

    The claimed classifications of Rota-type operators on 2D dendriform algebras are invalid as stated, with table entries that fail the defining operator equations.

  3. Central derivations of low-dimensional Zinbiel algebras

    math.RA 2024-11 reject novelty 3.0 of 10

    The tabulated central derivations for low-dimensional Zinbiel algebras contain entries that violate the paper's own definition, so the classification is unreliable.

  4. An Algorithmic Approach to Inner Derivations of Low-Dimensional Zinbiel Algebras

    math.RA 2024-12 reject novelty 2.0 of 10

    The central claim that ad_w(u)=u∘w-w∘u is a derivation of every Zinbiel algebra is false; a counterexample appears in the paper's own four-dimensional table.

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