A note on centralizers
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.
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| Main Author: | |
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| Format: | Article |
| Language: | English |
| Published: |
Wiley
2000-01-01
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| Series: | International Journal of Mathematics and Mathematical Sciences |
| Subjects: | |
| Online Access: | http://dx.doi.org/10.1155/S0161171200004245 |
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| Summary: | 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. |
|---|---|
| ISSN: | 0161-1712 1687-0425 |