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http://dx.doi.org/10.11568/kjm.2020.28.3.603

COMMUTATORS AND ANTI-COMMUTATORS HAVING AUTOMORPHISMS ON LIE IDEALS IN PRIME RINGS  

Raza, Mohd Arif (Department of Mathematics, Faculty of Sciences & Arts-Rabigh King Abdulaziz University)
Alhazmi, Hussain (Department of Mathematics, Faculty of Sciences & Arts-Rabigh King Abdulaziz University)
Publication Information
Korean Journal of Mathematics / v.28, no.3, 2020 , pp. 603-611 More about this Journal
Abstract
In this manuscript, we discuss the relationship between prime rings and automorphisms satisfying differential identities involving commutators and anti-commutators on Lie ideals. In addition, we provide an example which shows that we cannot expect the same conclusion in case of semiprime rings.
Keywords
Prime ring; Automorphisms; Maximal right ring of quotient; Generalized polynomial identity(GPI);
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