Orthogonality of two left and right generalized derivations on ideals in semiprime rings

In this paper, we present some results concerning orthogonality of l-generalized derivations and r-generalized derivations on ideals in semiprime rings, we also study the connections between orthogonality and some properties of the composition of a l-generalized derivation and a r-generalized deriva...

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Bibliographic Details
Published in:Rendiconti del Circolo matematico di Palermo 2019-12, Vol.68 (3), p.611-620
Main Authors: Aboubakr, Ahmed, González, Santos
Format: Article
Language:English
Subjects:
Algebra
Analysis
Applications of Mathematics
Derivation
Geometry
Mathematics
Mathematics and Statistics
Orthogonality
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Summary:In this paper, we present some results concerning orthogonality of l-generalized derivations and r-generalized derivations on ideals in semiprime rings, we also study the connections between orthogonality and some properties of the composition of a l-generalized derivation and a r-generalized derivation. These results are related to results of Brešar and Vukman (Rad Mat 5(2):237–246, 1989 ), that extend a theorem by Posner (Proc Am Math Soc 8:1093–1100, 1957 ) about products of derivations on prime rings.
ISSN:0009-725X
1973-4409
DOI:10.1007/s12215-018-0383-5