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On θ-centralizers of semiprime rings
- Source :
- Demonstratio Mathematica. 45
- Publication Year :
- 2012
- Publisher :
- Walter de Gruyter GmbH, 2012.
-
Abstract
- Let R be a semiprime ring with center Z(R) and µ be a surjective homomorphism. In this paper, we prove that T is a µ-centralizer if one of the following holds: (i) T(x)µ(y) = µ(x)T(y) for all x;y 2 R, where T is a mapping. (ii) [T(x);µ(x)] = 0 for all x 2 R, where T is a left µ-centralizer. (iii) 2T(xyx) = T(x)µ(y)µ(x) + µ(x)µ(y)T(x) for all x;y 2 R, where T is an additive mapping, µ(Z(R)) = Z(R) and R is 2-torsion free. 1
Details
- ISSN :
- 23914661
- Volume :
- 45
- Database :
- OpenAIRE
- Journal :
- Demonstratio Mathematica
- Accession number :
- edsair.doi...........f171e6cc6f5b278bb463af2f7848600d