Constructing the Maximal Left Quotient ring of an Alternative Ring.
Autores: L. Artacho Cárdenas, M. Gómez Lozano and J. Ruiz Calviño.
Revista: Marruecos
Abstract:We study the notion of (general) left quotient ring of an alternative ring and show the existence of a maximal left quotient ring for every alternative ring which is a left quotient ring of itself.
the sum of minimal 3-graded inner ideals each of which is a central extension of the TKK-algebra of a division Jordan pair. Nondegenerate Lie algebras having a large Jordan socle are essentially determined by TKK-algebras of simple Jordan pairs with minimal inner ideals and their derivation algebras, which are also 3-graded.