19 citations · 33 across the 2 of their papers we have counts for
2 papers
math.RA2018★ 19 cited
Rota-Baxter Operators on Quadratic Algebras
Pilar Benito, Vsevolod Gubarev, Alexander Pozhidaev
We prove that all Rota-Baxter operators on a quadratic division algebra are trivial. For nonzero weight, we state that all Rota-Baxter operators on the simple odd-dimensional Jorda…
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 -ary Jordan algebras,an -ary generalization of Jordan algebras obtained…