A Note on Constants of Integral Derivations in Semiprime Rings
Journal
Communications in Algebra
Journal Volume
41
Journal Issue
2
Pages
792-796
Date Issued
2013
Author(s)
Chen, Y.-J.
Abstract
Let R be a semiprime ring with extended centroid C and with Q its Martindale symmetric ring of quotients. Suppose that δ: R → R is a C-integral derivation. For a subring A of Q, let A(δ) denote the subring of constants of δ in A. We prove that R(δ) and Q(δ) satisfy the same polynomial identities with coefficients in C. In particular, R(δ) is not nil of bounded index. © 2013 Copyright Taylor and Francis Group, LLC.
Type
journal article