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Research explores non-abelian extensions and cohomology groups of Hom-pre-Lie algebras, indicating structural connections to automorphisms.
We investigate non-abelian extensions of Hom-pre-Lie algebras and extensibility of pairs of automorphisms about non-abelian extensions. Consequently, we establish the Wells short exact sequence connecting automorphism groups and non-abelian cohomology groups of Hom-pre-Lie algebras. Finally, we specialize these results to the case of abelian extensions.
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Sun et al. (2025) studied this question.
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