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math.KT2023
Wells type exact sequence and crossed extensions of algebras with bracket
José Manuel Casas, Emzar Khmaladze, Manuel Ladra
We study the extensibility problem of a pair of derivations associated with an abelian extension of algebras with bracket, and derive an exact sequence of the Wells type. We introd…
math.RA2023
-crossed modules and -capability of Lie algebras
Emzar Khmaladze, Manuel Ladra
Given a non-negative integer , we study two different notions of the -capability of Lie algebras via the non-abelian -exterior product of Lie algebras. The first is relate…