Multiplicativity of left centralizers forcing additivity

  • 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

Resumo

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.

Downloads

Não há dados estatísticos.
Publicado
2014-01-29
Edição
v. 32 n. 1 (2014)
Seção
Artigos

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).

 

Crossref
Scopus
Google Scholar
Europe PMC