On a problem of commutativity of automorphims

M. Anwar Chaudhry and A. B. Thaheem

International Journal of Mathematics and Mathematical Sciences, 1998, vol. 21, 1-2

Abstract:

In this note we provide a partial answer to a problem proposed by M. Brehr. We prove that if α , β are automorphisms of a commutative prime ring of characteristic not equal to 2 satisfying the equation α + α − 1 = β + β − 1 , then either α = β or α = β − 1 . As a consequence α and β commute and in this situation the equation itself ensures the commutativity of α and β .

Date: 1998
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jijmms:976587

DOI: 10.1155/S016117129800057X

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