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Abstract
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International Journal of Mathematics and Mathematical Sciences
Volume 24 (2000), Issue 1, Pages 55-57
doi:10.1155/S0161171200004245

A note on centralizers

Howard E. Bell

Department of Mathematics, Brock University, Ontario, ST. Catharines L2S 3A1, Canada

Abstract

For prime rings R, we characterize the set U∩CR([U,U]), where U is a right ideal of R; and we apply our result to obtain a commutativity-or-finiteness theorem. We include extensions to semiprime rings.