(23). Left Quotient Rings of Alternative Rings.
Autores: M. Gómez Lozano y M. Siles Molina.
Revista: Journal of Algebra and Its Applications, Vol. 6, No. 1 (2007) 71-102.
Abstract:In this paper we develop a Fountain-Gould-like Goldie theory for alternative rings. We characterize alternative rings which are Fountain-Gould left orders in semiprime alternative rings coinciding with their socle, and those which are Fountain-Gould left orders in semiprime Artininian alternative.
,y\in T$. Moreover, we prove that the Jordan algebras at nonzero Jordan elements of strongly prime Lie algebras are strongly prime.