Additive subgroups generated by polynomial values on right ideals
Journal
Communications in Algebra
Journal Volume
29
Journal Issue
7
Pages
2977-2984
Date Issued
2001
Author(s)
Chang, C.-M.
Abstract
Let R be a prime ring with extended centroid C, ρ a nonzero right ideal of R and f(X 1,…,Xt ) a nonzero polynomial over C. We determine the additive subgroup of RC generated by all elements f(x 1,…,xt ) for x 1,…,xt ∈ ρ C and obtain a result concerning an independence property of polynomials in prime rings.
Type
journal article