![Sample our Mathematics & Statistics journals, sign in here to start your FREE access for 14 days]({"type":"image" , "src" : "/sda/5943/TOC-Subject-Sample-2021-Mathematics-Statistics.jpg"})
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.