On centralizers of semiprime rings with involution

Author:

Vukman Joso1,Kosi-Ulbl Irena2

Affiliation:

1. 1 Department of Mathematics, University of Maribor, PEF Koroška 160, 2000 Maribor, Slovenia

2. 2 Department of Mathematics, University of Maribor, PEF Koroška 160, 2000 Maribor, Slovenia

Abstract

Let Rbe a 2-torsion free semiprime *-ring and let T:R?Rbe an additive mapping such that T(xx*)=T(x)x* is fulfilled for all x ?R. In this case T(xy)=T(x)yholds for all pairs x,y?R.

Publisher

Akademiai Kiado Zrt.

Subject

General Mathematics

Reference12 articles.

1. Jordan derivations on prime rings;M. Bresar;Bull. Austra Math. Soc.,1988

2. Jordan derivations on semiprime rings;M. Bresar;Proc. Amer. Math. Soc.,1988

3. An equation related to centralizers in semiprime rings;J. Vukman;Glasnik Mat.,2003

4. On centralizers of semiprime rings;B. Zalar;Comment. Math. Univ. Carol.,1991

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