Non-abelian extensions and Wells exact sequences of Hom-pre-Lie algebras

Key Points

• Non-abelian extensions maintain distinct algebraic structures, and their importance is evident in broader algebraic contexts.
• The main result demonstrates a connection between automorphism groups and relevant cohomology groups in Hom-pre-Lie algebras.
• Assessment using mathematical frameworks to analyze extensions and exact sequences in abstract algebra contexts sheds new light on algebraic structures.
• This study highlights the significance of cohomology groups in understanding advanced algebraic constructs, calling for further exploration into practical applications.