A multiplicative left centralizer for an associative ring R is a map satisfying T (xy) = T (x)y for all x, y in R. T is not assumed to be additive. In this paper we deal with the additivity of the multiplicative left centralizers in a ring which contains an idempotent element. Specially, we study additivity for multiplicative left centralizers in prime and semiprime rings which contain an idempotent element. © Soc. Paran. de Mat.
Multiplicativity of left centralizers forcing additivity
DE FILIPPIS, Vincenzo
2014-01-01
Abstract
A multiplicative left centralizer for an associative ring R is a map satisfying T (xy) = T (x)y for all x, y in R. T is not assumed to be additive. In this paper we deal with the additivity of the multiplicative left centralizers in a ring which contains an idempotent element. Specially, we study additivity for multiplicative left centralizers in prime and semiprime rings which contain an idempotent element. © Soc. Paran. de Mat.File in questo prodotto:
Non ci sono file associati a questo prodotto.
Pubblicazioni consigliate
I documenti in IRIS sono protetti da copyright e tutti i diritti sono riservati, salvo diversa indicazione.