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Communications in Algebra Volume 29, 2001 - Issue 7
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Original Articles

ADDITIVE SUBGROUPS GENERATED BY POLYNOMIAL VALUES ON RIGHT IDEALS

Chi-Ming Chang Department of Mathematics, Aletheia University, Tamshui, Taipei, Taiwan
&
Tsiu-Kwen Lee Department of Mathematics, National Taiwan University, Taipei, 106, Taiwan
Pages 2977-2984 | Received 01 Feb 2000, Published online: 20 Oct 2011
 
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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.

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