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math.CT2023★ 5 cited
Weak representability of actions of non-associative algebras
Jose Brox, Xabier García-Martínez, Manuel Mancini +2
We study the categorical-algebraic condition that internal actions are weakly representable (WRA) in the context of varieties of (non-associative) algebras over a field. Our first…
math.CT2023★ 8 cited
On the representability of actions of Leibniz algebras and Poisson algebras
Alan S. Cigoli, Manuel Mancini, Giuseppe Metere
In a recent paper, motivated by the study of central extensions of associative algebras, G. Janelidze introduces the notion of weakly action representable category. In this paper,…