Multiplicativity of left centralizers forcing additivity

Authors

  • Mohammad Sayed Tammam El-Sayiad King Abdulaziz University Faculty of Science for Girls Department of Mathematics
  • Mohamad Nagy Daif Al-Azhar University Faculty of Science Departmento of Mathematics
  • Vincenzo De Filippis University of Messina Department of Mathematics and Computer Sciences

DOI:

https://doi.org/10.5269/bspm.v32i1.17274

Keywords:

Prime rings, Semiprime Rings, Centralizers, Pierce decomposition

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.

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Published

2014-01-29

Issue

Vol. 32 No. 1 (2014)

Section

Research Articles

License

When the manuscript is accepted for publication, the authors agree automatically to transfer the copyright to the (SPM).

The journal utilize the Creative Common Attribution (CC-BY 4.0).

 

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