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Physical Sciences and Engineering Mathematics Algebra and Number Theory

Posner’s second theorem for Jordan ideals in rings with involution

Article ID Journal Published Year Pages File Type
4582443 Expositiones Mathematicae 2011 5 Pages PDF
Abstract

Posner’s second theorem states that the existence of a nonzero centralizing derivation on a prime ring forces the ring to be commutative. In this paper we extend this result to Jordan ideals of rings with involution. Moreover, some related results are also discussed.

Keywords
16W1016W25Derivations
Related Topics
Physical Sciences and Engineering Mathematics Algebra and Number Theory
Preview
Posner’s second theorem for Jordan ideals in rings with involution
Authors
Lahcen Oukhtite,
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Expositiones Mathematicae
Journal: Expositiones Mathematicae
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