Back to Search Start Over

On skew-commuting mappings in semiprime rings

Authors :
Benjamin Marcen
Maja Fošner
Nadeem ur Rehman
Source :
Mathematica Slovaca. 66:811-814
Publication Year :
2016
Publisher :
Walter de Gruyter GmbH, 2016.

Abstract

In this paper we prove the following result. Let R be a n!-torsion free semiprime ring and let f :R → R be an additive mapping satisfying the relation f(x)x n + x n f(x) = 0 for all x ∈ R. In this case f = 0.

Details

ISSN :
13372211 and 01399918
Volume :
66
Database :
OpenAIRE
Journal :
Mathematica Slovaca
Accession number :
edsair.doi...........7a924e52e8cb65720d7a9d5da6203bed
Full Text :
https://doi.org/10.1515/ms-2015-0183