On nuclear Jordan-Bernstein algebras. (English) Zbl 0824.17033
The aim of this paper is the construction of free nuclear Jordan- Bernstein algebras, that is the largest nuclear Jordan-Bernstein algebra generated by a set of generators. The nilpotency index of the considered algebras is studied; the obtained results are applied to inner derivations of Jordan-Bernstein algebras.
Reviewer: M.Bertrand (Mont-Saint-Aignan)
MSC:
17D92 | Genetic algebras |