P. Saraiva

most citedOn a ternary generalization of Jordan algebras

14 citations · 18 across the 2 of their papers we have counts for

collaborators

2 papers

math.RA2018★ 4 cited

Decompositions of linear spaces induced by $n$ -linear maps

Antonio Jesús Calderón, Ivan Kaygorodov, Paulo Saraiva

Let $V$ be an arbitrary linear space and $f : V \times \dots \times V \to V$ an $n$ -linear map. It is proved that, for each choice of a basis ${\math…

math.RA2017★ 14 cited

On a ternary generalization of Jordan algebras

Ivan Kaygorodov, Alexander Pozhidaev, Paulo Saraiva

Based on the relation between the notions of Lie triple systems and Jordan algebras, we introduce the $n$ -ary Jordan algebras,an $n$ -ary generalization of Jordan algebras obtained…

Decompositions of linear spaces induced by n-linear maps

On a ternary generalization of Jordan algebras

Decompositions of linear spaces induced by $n$ -linear maps