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math.RA2026
Commutative algebras are ideals of evolution algebras
Cristina Costoya, Amir Fernández Ouaridi, Antonio Viruel
We prove that every finite-dimensional commutative algebra can be embedded as an ideal of a finite-dimensional evolution algebra. We then determine the smallest possible dimension…
math.RA2026
On simple transposed Poisson algebras
Amir Fernández Ouaridi
We develop a structure theory for transposed Poisson algebras over fields of characteristic different from two. In particular, we prove that every finite-dimensional transposed Poi…