Dependent Elements of Biadditive Mappings on Semiprime Rings

Abdul-Rahman H Majeed; Auday Hekmat Mahmood

Dependent Elements of Biadditive Mappings on Semiprime Rings

Authors

Abdul-Rahman H Majeed Department of Mathematic, College of Science, University of Baghdad.
Auday Hekmat Mahmood Department of Mathematic, College of Education, University of Al-Mustansiriyah.

Keywords:

Dependent elements, free action mappings, Semiprime rings, left (right) Bicentralizer

Abstract

In this paper; we introduce the concepts of dependent element and free action associated to a biadditive mapping. We shall investigate some properties of dependent element of various mapping related to Bicentralizer on a semiprimerings. Also we identify various situations where these maps are free action.