Kernel Inclusions of Algebraic Automorphisms
Resource
Communications in Algebra, 39(4), 1365-1371
Journal
Communications in Algebra
Pages
1365-1371
Date Issued
2011
Date
2011
Author(s)
Chen, Hung-Yuan
Abstract
Let R be a prime ring with left Martindale quotient ring RF{script} and symmetric Martindale quotient ring Q. Define, for an automorphism σ of R, R(σ) = {x ∈ R {pipe} xσ = x}. Let σ and τ be automorphisms of R, and assume that σ is left RF{script}-algebraic. We show that R(σ) ⊆ R(τ) if and only if χ τ= vχσi v-1 for all x ∈ R, where i is an integer and where v is in the centralizer of R(σ) in Q. © Taylor & Francis Group, LLC.
Type
journal article
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