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