(8). Left, Right and inner Socles of associative Systems.

Autores: M. Gómez Lozano and M. Siles Molina. 

Revista: Acta Mathematica  Hungarica, 103(3),  (2004), 177-196.     (JCR: 141 de 180. Factor de impacto: 0.278)

Abstract: In this paper we investigate the basic properties of the different socles that can be considered in not necessarily semiprime associative systems. Among other things, we show that the socle defined as the sum of minimal (or minimal and trivial) inner ideals is always an ideal. When trivial inner ideals are included, this inner socle   contains the socles defined in terms of minimal left or right ideals.