Abstract
The classical central simple theory of associative algebras generalizes, in this article, to a central simple theory of nonassociative algebras with operators and a related central irreducible theory of modules. These theories are motivated by, and apply to, problems of constructing and classifying simple Jordan Lie algebras, irreducible modules, and birings.
2000 Mathematics Subject Classification:
ACKNOWLEDGMENT
It is a pleasure to thank the referee for helpful comments and suggestions at this time.
Notes
Communicated by I. Shestakov.