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.
2014
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/11570/2666580
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