Identities with a single skew derivation
Resource
Journal of Algebra 288 (1): 59-77
Journal
Journal of Algebra
Journal Volume
288
Journal Issue
1
Pages
59-77
Date Issued
2005
Author(s)
Abstract
Let R be a prime ring with extended centroid C and δ, a continuous skew derivation of R. We define the notion of K-polynomials which, in the case that δ is an ordinary derivation, reduces to polynomials of the form xδpn + α1 xδpn-1 + ⋯ + αn xδ, where αi ∈ C. It is shown that all generalized identities with δ are consequences of GPIs of R and an identity in the form ψ(x) = xσm b - bx, where ψ(x) is a K-polynomial of minimal possible order m. © 2005 Elsevier Inc. All rights reserved.
Type
journal article
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