A NOTE ON CENTRALIZERS

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

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Bibliographic Details
Published in:International Journal of Mathematics and Mathematical Sciences 2000-01, Vol.2000 (1), p.a55-57-112
Main Author: Bell, Howard E.
Format: Article
Language:English
Subjects:
centralizers
Prime rings
semiprime rings
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Description
Summary:For prime rings R, we characterize the set U ∩C_R([U,U]), where U is a right ideal of R; andwe apply our result to obtain a commutativity-or-finiteness theorem. We include extensions to semiprime rings.
ISSN:0161-1712
1687-0425
DOI:10.1155/S0161171200004245