3 problems

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Guzzo's solvability conjecture for finite-dimensional 4-algebras
A $4$ -algebra is a vector space $A$ over a field $k$ of characteristic different from $2$ , equipped with a commutative bilinear multiplication satisfying … It is Guzzo's solvabilit…
Conjecturesolvednonassociative-algebras solvable-algebrasarXiv posted 2 days ago
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The splitting conjecture for complete Leibniz algebra ideals
Splitting conjecture. The algebra $L$ decomposes as
Conjectureopenleibniz-algebras solvable-algebrasarXiv posted 2 days ago
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The maximal-complement conjecture for local and 2-local automorphisms of solvable Leibniz algebras
Let $L$ be a solvable Leibniz algebra with a given nilradical, and suppose that the dimension of a complementary space to the nilradical is maximal. Maximal-complement conjecture.…
Conjectureopenleibniz-algebras local-automorphisms solvable-algebrasarXiv posted 2 days ago

Guzzo's solvability conjecture for finite-dimensional 4-algebras