Prime radicals of constants of algebraic derivations

Resource
Monatshefte für Mathematik, 160(1), 31-40
Journal
Monatshefte fur Mathematik
Journal Volume
160
Journal Issue
1
Pages
31-40
Date Issued
2010
Author(s)
Chuang, C.-L.
DOI
URI
Abstract
Let R be a prime ring with extended centroid F and let δ be an F-algebraic continuous derivation of R with the associated inner derivation ad(b). Factorize the minimal polynomial μ(λ) of b over F into distinct irreducible factors μ(λ) = Πiπi(λ)ni. Set ℓ to be the maximum of ni. Let be the subring of constants of δ on R. Denote the prime radical of a ring A by P(A). It is shown among other things that P(R(δ))2ℓ-1 = 0 and P(R(δ)) = R(δ) ∩ P(CR(b)). © Springer-Verlag 2009.
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journal article
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