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math.RA2020
Simultaneous orthogonalization of inner products over arbitrary fields
Yolanda Cabrera Casado, Cristóbal Gil Canto, Dolores Martín Barquero +1
We give necessary and sufficient conditions for a family of inner products in a finite-dimensional vector space over an arbitrary field to have an orthogonal basis…
math.RA2020
Natural families in evolution algebras
Nadia Boudi, Yolanda Cabrera Casado, Mercedes Siles Molina
In this paper we introduce the notion of evolution rank and give a decomposition of an evolution algebra into its annihilator plus extending evolution subspaces having evolution ra…