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math.RA2022
Perturbations of polynomials and applications
Elisabeth Remm
After reconsidering the theorem of continuity of the roots of a polynomial in terms of its coefficients in the deformation framework, we study the stability of the greater common d…
math.RA2022
Anti-associative algebras
Elisabeth Remm
An anti-associative algebra is a nonassociative algebra whose multiplication satisfies the identity a(bc)+(ab)c=0. Such algebras are nilpotent. We describe the free anti-associativ…
math.RA2022
Deformation quantization of nonassociative algebras
Elisabeth Remm
We investigate formal deformations of certain classes of nonassociative algebras including classes of K[Σ3]-associative algebras, Lie-admissible algebras and anti-associative algeb…