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Automorphisms with annihilator condition in prime rings
- Source :
- Acta et Commentationes Universitatis Tartuensis de Mathematica. 19:127-132
- Publication Year :
- 2015
- Publisher :
- University of Tartu, 2015.
-
Abstract
- Let R be a prime ring, I a nonzero ideal of R, and a ∈ R. Suppose that σ is a nontrivial automorphism of R such that a{(σ(x ∘ y))n − (x ∘ y)m} = 0 or a{(σ([x,y]))n − ([x,y])m} = 0 for all x,y ∈ I, where n and m are fixed positive integers. We prove that if char(R) > n + 1 or char(R) = 0, then either a = 0 or R is commutative.
Details
- ISSN :
- 22284699 and 14062283
- Volume :
- 19
- Database :
- OpenAIRE
- Journal :
- Acta et Commentationes Universitatis Tartuensis de Mathematica
- Accession number :
- edsair.doi...........7ebe24cc9cf46110af9ac428f7dba26e